Finding the Fourth Proportional to 9,787.46, 14,644.76 and 5,840.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,787.46 : 14,644.76 = 5,840.82 : x
2. Step 2: Convert to fraction form
   9,787.46/14,644.76 = 5,840.82/x
3. Step 3: Cross multiply
   9,787.46x = 14,644.76 × 5,840.82
4. Step 4: Simplify right side
   9,787.46x = 85,537,407.10
5. Step 5: Solve for x
   x = 85,537,407.10/9,787.46
6. Step 6: Final answer
   x = 8,739.49