Finding the Fourth Proportional to 3,932.31, 5,896.56 and 2,289.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,932.31 : 5,896.56 = 2,289.24 : x
2. Step 2: Convert to fraction form
   3,932.31/5,896.56 = 2,289.24/x
3. Step 3: Cross multiply
   3,932.31x = 5,896.56 × 2,289.24
4. Step 4: Simplify right side
   3,932.31x = 13,498,641.01
5. Step 5: Solve for x
   x = 13,498,641.01/3,932.31
6. Step 6: Final answer
   x = 3,432.75