Finding the Fourth Proportional to 10,041.93, 13,856.94 and 5,565.47

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.93 : 13,856.94 = 5,565.47 : x
2. Step 2: Convert to fraction form
   10,041.93/13,856.94 = 5,565.47/x
3. Step 3: Cross multiply
   10,041.93x = 13,856.94 × 5,565.47
4. Step 4: Simplify right side
   10,041.93x = 77,120,314.58
5. Step 5: Solve for x
   x = 77,120,314.58/10,041.93
6. Step 6: Final answer
   x = 7,679.83