Finding the Fourth Proportional to 10,042.57, 13,858.86 and 5,566.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.57 : 13,858.86 = 5,566.41 : x
2. Step 2: Convert to fraction form
   10,042.57/13,858.86 = 5,566.41/x
3. Step 3: Cross multiply
   10,042.57x = 13,858.86 × 5,566.41
4. Step 4: Simplify right side
   10,042.57x = 77,144,096.89
5. Step 5: Solve for x
   x = 77,144,096.89/10,042.57
6. Step 6: Final answer
   x = 7,681.71