Finding the Fourth Proportional to 1,151.84, 1,726.34 and 534.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,151.84 : 1,726.34 = 534.72 : x
2. Step 2: Convert to fraction form
   1,151.84/1,726.34 = 534.72/x
3. Step 3: Cross multiply
   1,151.84x = 1,726.34 × 534.72
4. Step 4: Simplify right side
   1,151.84x = 923,108.52
5. Step 5: Solve for x
   x = 923,108.52/1,151.84
6. Step 6: Final answer
   x = 801.42