Finding the Fourth Proportional to 10,042.92, 13,858.86 and 5,567.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.92 : 13,858.86 = 5,567.08 : x
2. Step 2: Convert to fraction form
   10,042.92/13,858.86 = 5,567.08/x
3. Step 3: Cross multiply
   10,042.92x = 13,858.86 × 5,567.08
4. Step 4: Simplify right side
   10,042.92x = 77,153,382.33
5. Step 5: Solve for x
   x = 77,153,382.33/10,042.92
6. Step 6: Final answer
   x = 7,682.37