Finding the Fourth Proportional to 9,411.53, 14,116.30 and 3,865.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,411.53 : 14,116.30 = 3,865.46 : x
2. Step 2: Convert to fraction form
   9,411.53/14,116.30 = 3,865.46/x
3. Step 3: Cross multiply
   9,411.53x = 14,116.30 × 3,865.46
4. Step 4: Simplify right side
   9,411.53x = 54,565,912.75
5. Step 5: Solve for x
   x = 54,565,912.75/9,411.53
6. Step 6: Final answer
   x = 5,797.78