Finding the Fourth Proportional to 10,042.84, 13,859.16 and 5,566.36

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.84 : 13,859.16 = 5,566.36 : x
2. Step 2: Convert to fraction form
   10,042.84/13,859.16 = 5,566.36/x
3. Step 3: Cross multiply
   10,042.84x = 13,859.16 × 5,566.36
4. Step 4: Simplify right side
   10,042.84x = 77,145,073.86
5. Step 5: Solve for x
   x = 77,145,073.86/10,042.84
6. Step 6: Final answer
   x = 7,681.60