Let's solve each equation step by step.

### a. \( X : 17 + 28 = 432 \)
1. Rewrite the equation:
\[
\frac{X}{17} + 28 = 432
\]
2. Subtract 28 from both sides:
\[
\frac{X}{17} = 432 - 28 = 404
\]
3. Multiply both sides by 17:
\[
X = 404 \times 17 = 6868
\]

### b. \( 435 - 72 : X = 426 \)
1. Rewrite the equation:
\[
435 - \frac{72}{X} = 426
\]
2. Subtract 426 from both sides:
\[
435 - 426 = \frac{72}{X} \implies 9 = \frac{72}{X}
\]
3. Cross-multiply:
\[
9X = 72
\]
4. Divide by 9:
\[
X = \frac{72}{9} = 8
\]

### c. \( X \times 12 + 95 = 229 \)
1. Rewrite the equation:
\[
12X + 95 = 229
\]
2. Subtract 95 from both sides:
\[
12X = 229 - 95 = 134
\]
3. Divide by 12:
\[
X = \frac{134}{12} = 11.1667 \text{ (approximately 11.17)}
\]

### d. \( X \times 32 = 45 \times X \)
1. Rearranging gives:
\[
32X = 45X
\]
2. Subtract \( 32X \) from both sides:
\[
0 = 13X
\]
3. This means:
\[
X = 0
\]

### Summary of Solutions:
- a. \( X = 6868 \)
- b. \( X = 8 \)
- c. \( X = 11.17 \)
- d. \( X = 0 \)