Finding the Fourth Proportional to 1,150.63, 1,726.10 and 534.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,150.63 : 1,726.10 = 534.50 : x
2. Step 2: Convert to fraction form
   1,150.63/1,726.10 = 534.50/x
3. Step 3: Cross multiply
   1,150.63x = 1,726.10 × 534.50
4. Step 4: Simplify right side
   1,150.63x = 922,597.78
5. Step 5: Solve for x
   x = 922,597.78/1,150.63
6. Step 6: Final answer
   x = 801.82