Finding the Fourth Proportional to 10,042.35, 13,858.55 and 5,566.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.35 : 13,858.55 = 5,566.16 : x
2. Step 2: Convert to fraction form
   10,042.35/13,858.55 = 5,566.16/x
3. Step 3: Cross multiply
   10,042.35x = 13,858.55 × 5,566.16
4. Step 4: Simplify right side
   10,042.35x = 77,138,809.54
5. Step 5: Solve for x
   x = 77,138,809.54/10,042.35
6. Step 6: Final answer
   x = 7,681.35