Finding the Fourth Proportional to 6,535.71, 9,796.86 and 2,585.39

Step by Step Solution

1. Step 1: Write the proportion equation
   6,535.71 : 9,796.86 = 2,585.39 : x
2. Step 2: Convert to fraction form
   6,535.71/9,796.86 = 2,585.39/x
3. Step 3: Cross multiply
   6,535.71x = 9,796.86 × 2,585.39
4. Step 4: Simplify right side
   6,535.71x = 25,328,654.89
5. Step 5: Solve for x
   x = 25,328,654.89/6,535.71
6. Step 6: Final answer
   x = 3,875.43