Finding the Fourth Proportional to 9,782.89, 14,677.10 and 3,856.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.89 : 14,677.10 = 3,856.12 : x
2. Step 2: Convert to fraction form
   9,782.89/14,677.10 = 3,856.12/x
3. Step 3: Cross multiply
   9,782.89x = 14,677.10 × 3,856.12
4. Step 4: Simplify right side
   9,782.89x = 56,596,658.85
5. Step 5: Solve for x
   x = 56,596,658.85/9,782.89
6. Step 6: Final answer
   x = 5,785.27