Finding the Fourth Proportional to 1,151.78, 1,726.69 and 502.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.78 : 1,726.69 = 502.02 : x
2. Step 2: Convert to fraction form
   1,151.78/1,726.69 = 502.02/x
3. Step 3: Cross multiply
   1,151.78x = 1,726.69 × 502.02
4. Step 4: Simplify right side
   1,151.78x = 866,832.91
5. Step 5: Solve for x
   x = 866,832.91/1,151.78
6. Step 6: Final answer
   x = 752.60