Finding the Fourth Proportional to 10,042.55, 13,858.53 and 5,566.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.55 : 13,858.53 = 5,566.30 : x
2. Step 2: Convert to fraction form
   10,042.55/13,858.53 = 5,566.30/x
3. Step 3: Cross multiply
   10,042.55x = 13,858.53 × 5,566.30
4. Step 4: Simplify right side
   10,042.55x = 77,140,735.54
5. Step 5: Solve for x
   x = 77,140,735.54/10,042.55
6. Step 6: Final answer
   x = 7,681.39