Finding the Fourth Proportional to 10,042.93, 13,858.32 and 5,566.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.93 : 13,858.32 = 5,566.47 : x
2. Step 2: Convert to fraction form
   10,042.93/13,858.32 = 5,566.47/x
3. Step 3: Cross multiply
   10,042.93x = 13,858.32 × 5,566.47
4. Step 4: Simplify right side
   10,042.93x = 77,141,922.53
5. Step 5: Solve for x
   x = 77,141,922.53/10,042.93
6. Step 6: Final answer
   x = 7,681.22