Finding the Fourth Proportional to 10,573.38, 15,854.67 and 5,642.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,573.38 : 15,854.67 = 5,642.10 : x
2. Step 2: Convert to fraction form
   10,573.38/15,854.67 = 5,642.10/x
3. Step 3: Cross multiply
   10,573.38x = 15,854.67 × 5,642.10
4. Step 4: Simplify right side
   10,573.38x = 89,453,633.61
5. Step 5: Solve for x
   x = 89,453,633.61/10,573.38
6. Step 6: Final answer
   x = 8,460.27