Finding the Fourth Proportional to 9,105.61, 13,663.72 and 3,840.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.61 : 13,663.72 = 3,840.29 : x
2. Step 2: Convert to fraction form
   9,105.61/13,663.72 = 3,840.29/x
3. Step 3: Cross multiply
   9,105.61x = 13,663.72 × 3,840.29
4. Step 4: Simplify right side
   9,105.61x = 52,472,671.84
5. Step 5: Solve for x
   x = 52,472,671.84/9,105.61
6. Step 6: Final answer
   x = 5,762.68