Finding the Fourth Proportional to 10,041.29, 13,856.56 and 5,565.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.29 : 13,856.56 = 5,565.23 : x
2. Step 2: Convert to fraction form
   10,041.29/13,856.56 = 5,565.23/x
3. Step 3: Cross multiply
   10,041.29x = 13,856.56 × 5,565.23
4. Step 4: Simplify right side
   10,041.29x = 77,114,943.41
5. Step 5: Solve for x
   x = 77,114,943.41/10,041.29
6. Step 6: Final answer
   x = 7,679.78