Finding the Fourth Proportional to 1,152.32, 1,728.72 and 502.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.32 : 1,728.72 = 502.88 : x
2. Step 2: Convert to fraction form
   1,152.32/1,728.72 = 502.88/x
3. Step 3: Cross multiply
   1,152.32x = 1,728.72 × 502.88
4. Step 4: Simplify right side
   1,152.32x = 869,338.71
5. Step 5: Solve for x
   x = 869,338.71/1,152.32
6. Step 6: Final answer
   x = 754.42