Finding the Fourth Proportional to 10,041.82, 13,858.54 and 5,566.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.82 : 13,858.54 = 5,566.97 : x
2. Step 2: Convert to fraction form
   10,041.82/13,858.54 = 5,566.97/x
3. Step 3: Cross multiply
   10,041.82x = 13,858.54 × 5,566.97
4. Step 4: Simplify right side
   10,041.82x = 77,150,097.15
5. Step 5: Solve for x
   x = 77,150,097.15/10,041.82
6. Step 6: Final answer
   x = 7,682.88