Finding the Fourth Proportional to 6,460.00, 8,909.92 and 5,565.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,460.00 : 8,909.92 = 5,565.25 : x
2. Step 2: Convert to fraction form
   6,460.00/8,909.92 = 5,565.25/x
3. Step 3: Cross multiply
   6,460.00x = 8,909.92 × 5,565.25
4. Step 4: Simplify right side
   6,460.00x = 49,585,904.45
5. Step 5: Solve for x
   x = 49,585,904.45/6,460.00
6. Step 6: Final answer
   x = 7,675.84