Finding the Fourth Proportional to 10,042.25, 13,858.38 and 5,566.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,042.25 : 13,858.38 = 5,566.07 : x
2. Step 2: Convert to fraction form
   10,042.25/13,858.38 = 5,566.07/x
3. Step 3: Cross multiply
   10,042.25x = 13,858.38 × 5,566.07
4. Step 4: Simplify right side
   10,042.25x = 77,136,747.81
5. Step 5: Solve for x
   x = 77,136,747.81/10,042.25
6. Step 6: Final answer
   x = 7,681.23