Finding the Fourth Proportional to 9,786.96, 14,644.02 and 5,840.32

Step by Step Solution

1. Step 1: Write the proportion equation
   9,786.96 : 14,644.02 = 5,840.32 : x
2. Step 2: Convert to fraction form
   9,786.96/14,644.02 = 5,840.32/x
3. Step 3: Cross multiply
   9,786.96x = 14,644.02 × 5,840.32
4. Step 4: Simplify right side
   9,786.96x = 85,525,762.89
5. Step 5: Solve for x
   x = 85,525,762.89/9,786.96
6. Step 6: Final answer
   x = 8,738.75