Finding the Fourth Proportional to 9,134.91, 12,601.92 and 5,782.68

Step by Step Solution

1. Step 1: Write the proportion equation
   9,134.91 : 12,601.92 = 5,782.68 : x
2. Step 2: Convert to fraction form
   9,134.91/12,601.92 = 5,782.68/x
3. Step 3: Cross multiply
   9,134.91x = 12,601.92 × 5,782.68
4. Step 4: Simplify right side
   9,134.91x = 72,872,870.75
5. Step 5: Solve for x
   x = 72,872,870.75/9,134.91
6. Step 6: Final answer
   x = 7,977.40