Finding the Fourth Proportional to 9,678.52, 14,517.84 and 3,835.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.52 : 14,517.84 = 3,835.12 : x
2. Step 2: Convert to fraction form
   9,678.52/14,517.84 = 3,835.12/x
3. Step 3: Cross multiply
   9,678.52x = 14,517.84 × 3,835.12
4. Step 4: Simplify right side
   9,678.52x = 55,677,658.54
5. Step 5: Solve for x
   x = 55,677,658.54/9,678.52
6. Step 6: Final answer
   x = 5,752.70