Finding the Fourth Proportional to 10,041.38, 13,857.14 and 5,565.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.38 : 13,857.14 = 5,565.21 : x
2. Step 2: Convert to fraction form
   10,041.38/13,857.14 = 5,565.21/x
3. Step 3: Cross multiply
   10,041.38x = 13,857.14 × 5,565.21
4. Step 4: Simplify right side
   10,041.38x = 77,117,856.05
5. Step 5: Solve for x
   x = 77,117,856.05/10,041.38
6. Step 6: Final answer
   x = 7,680.00