Finding the Fourth Proportional to 1,151.60, 1,726.17 and 493.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.60 : 1,726.17 = 493.82 : x
2. Step 2: Convert to fraction form
   1,151.60/1,726.17 = 493.82/x
3. Step 3: Cross multiply
   1,151.60x = 1,726.17 × 493.82
4. Step 4: Simplify right side
   1,151.60x = 852,417.27
5. Step 5: Solve for x
   x = 852,417.27/1,151.60
6. Step 6: Final answer
   x = 740.20