Finding the Fourth Proportional to 10,041.29, 13,856.95 and 5,565.00

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.29 : 13,856.95 = 5,565.00 : x
2. Step 2: Convert to fraction form
   10,041.29/13,856.95 = 5,565.00/x
3. Step 3: Cross multiply
   10,041.29x = 13,856.95 × 5,565.00
4. Step 4: Simplify right side
   10,041.29x = 77,113,881.74
5. Step 5: Solve for x
   x = 77,113,881.74/10,041.29
6. Step 6: Final answer
   x = 7,679.68