Finding the Fourth Proportional to 10,041.50, 13,857.38 and 5,565.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.50 : 13,857.38 = 5,565.33 : x
2. Step 2: Convert to fraction form
   10,041.50/13,857.38 = 5,565.33/x
3. Step 3: Cross multiply
   10,041.50x = 13,857.38 × 5,565.33
4. Step 4: Simplify right side
   10,041.50x = 77,120,864.81
5. Step 5: Solve for x
   x = 77,120,864.81/10,041.50
6. Step 6: Final answer
   x = 7,680.22