Finding the Fourth Proportional to 6,581.61, 9,078.72 and 4,561.88

Step by Step Solution

1. Step 1: Write the proportion equation
   6,581.61 : 9,078.72 = 4,561.88 : x
2. Step 2: Convert to fraction form
   6,581.61/9,078.72 = 4,561.88/x
3. Step 3: Cross multiply
   6,581.61x = 9,078.72 × 4,561.88
4. Step 4: Simplify right side
   6,581.61x = 41,415,985.80
5. Step 5: Solve for x
   x = 41,415,985.80/6,581.61
6. Step 6: Final answer
   x = 6,292.68