Finding the Fourth Proportional to 1,053.67, 1,580.96 and 566.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,053.67 : 1,580.96 = 566.15 : x
2. Step 2: Convert to fraction form
   1,053.67/1,580.96 = 566.15/x
3. Step 3: Cross multiply
   1,053.67x = 1,580.96 × 566.15
4. Step 4: Simplify right side
   1,053.67x = 895,060.50
5. Step 5: Solve for x
   x = 895,060.50/1,053.67
6. Step 6: Final answer
   x = 849.47