Finding the Fourth Proportional to 10,042.43, 13,858.34 and 5,566.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.43 : 13,858.34 = 5,566.14 : x
2. Step 2: Convert to fraction form
   10,042.43/13,858.34 = 5,566.14/x
3. Step 3: Cross multiply
   10,042.43x = 13,858.34 × 5,566.14
4. Step 4: Simplify right side
   10,042.43x = 77,137,432.78
5. Step 5: Solve for x
   x = 77,137,432.78/10,042.43
6. Step 6: Final answer
   x = 7,681.16