Finding the Fourth Proportional to 5,496.89, 7,585.71 and 3,259.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,496.89 : 7,585.71 = 3,259.86 : x
2. Step 2: Convert to fraction form
   5,496.89/7,585.71 = 3,259.86/x
3. Step 3: Cross multiply
   5,496.89x = 7,585.71 × 3,259.86
4. Step 4: Simplify right side
   5,496.89x = 24,728,352.60
5. Step 5: Solve for x
   x = 24,728,352.60/5,496.89
6. Step 6: Final answer
   x = 4,498.61