Finding the Fourth Proportional to 10,041.48, 13,856.88 and 5,565.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.48 : 13,856.88 = 5,565.65 : x
2. Step 2: Convert to fraction form
   10,041.48/13,856.88 = 5,565.65/x
3. Step 3: Cross multiply
   10,041.48x = 13,856.88 × 5,565.65
4. Step 4: Simplify right side
   10,041.48x = 77,122,474.89
5. Step 5: Solve for x
   x = 77,122,474.89/10,041.48
6. Step 6: Final answer
   x = 7,680.39