Finding the Fourth Proportional to 10,041.68, 13,857.59 and 5,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.68 : 13,857.59 = 5,565.50 : x
2. Step 2: Convert to fraction form
   10,041.68/13,857.59 = 5,565.50/x
3. Step 3: Cross multiply
   10,041.68x = 13,857.59 × 5,565.50
4. Step 4: Simplify right side
   10,041.68x = 77,124,417.15
5. Step 5: Solve for x
   x = 77,124,417.15/10,041.68
6. Step 6: Final answer
   x = 7,680.43