Finding the Fourth Proportional to 1,151.42, 1,726.18 and 535.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.42 : 1,726.18 = 535.57 : x
2. Step 2: Convert to fraction form
   1,151.42/1,726.18 = 535.57/x
3. Step 3: Cross multiply
   1,151.42x = 1,726.18 × 535.57
4. Step 4: Simplify right side
   1,151.42x = 924,490.22
5. Step 5: Solve for x
   x = 924,490.22/1,151.42
6. Step 6: Final answer
   x = 802.91