Finding the Fourth Proportional to 6,460.50, 8,910.61 and 5,565.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,460.50 : 8,910.61 = 5,565.75 : x
2. Step 2: Convert to fraction form
   6,460.50/8,910.61 = 5,565.75/x
3. Step 3: Cross multiply
   6,460.50x = 8,910.61 × 5,565.75
4. Step 4: Simplify right side
   6,460.50x = 49,594,199.78
5. Step 5: Solve for x
   x = 49,594,199.78/6,460.50
6. Step 6: Final answer
   x = 7,676.53