Finding the Fourth Proportional to 10,042.86, 13,858.64 and 5,566.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.86 : 13,858.64 = 5,566.57 : x
2. Step 2: Convert to fraction form
   10,042.86/13,858.64 = 5,566.57/x
3. Step 3: Cross multiply
   10,042.86x = 13,858.64 × 5,566.57
4. Step 4: Simplify right side
   10,042.86x = 77,145,089.66
5. Step 5: Solve for x
   x = 77,145,089.66/10,042.86
6. Step 6: Final answer
   x = 7,681.59