Finding the Fourth Proportional to 1,096.16, 1,640.71 and 575.43

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.16 : 1,640.71 = 575.43 : x
2. Step 2: Convert to fraction form
   1,096.16/1,640.71 = 575.43/x
3. Step 3: Cross multiply
   1,096.16x = 1,640.71 × 575.43
4. Step 4: Simplify right side
   1,096.16x = 944,113.76
5. Step 5: Solve for x
   x = 944,113.76/1,096.16
6. Step 6: Final answer
   x = 861.29