Finding the Fourth Proportional to 1,053.83, 1,581.27 and 506.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.83 : 1,581.27 = 506.47 : x
2. Step 2: Convert to fraction form
   1,053.83/1,581.27 = 506.47/x
3. Step 3: Cross multiply
   1,053.83x = 1,581.27 × 506.47
4. Step 4: Simplify right side
   1,053.83x = 800,861.86
5. Step 5: Solve for x
   x = 800,861.86/1,053.83
6. Step 6: Final answer
   x = 759.96