Finding the Fourth Proportional to 9,101.06, 13,647.72 and 3,838.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,101.06 : 13,647.72 = 3,838.42 : x
2. Step 2: Convert to fraction form
   9,101.06/13,647.72 = 3,838.42/x
3. Step 3: Cross multiply
   9,101.06x = 13,647.72 × 3,838.42
4. Step 4: Simplify right side
   9,101.06x = 52,385,712.86
5. Step 5: Solve for x
   x = 52,385,712.86/9,101.06
6. Step 6: Final answer
   x = 5,756.00