Finding the Fourth Proportional to 9,710.80, 14,577.12 and 3,871.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,710.80 : 14,577.12 = 3,871.50 : x
2. Step 2: Convert to fraction form
   9,710.80/14,577.12 = 3,871.50/x
3. Step 3: Cross multiply
   9,710.80x = 14,577.12 × 3,871.50
4. Step 4: Simplify right side
   9,710.80x = 56,435,320.08
5. Step 5: Solve for x
   x = 56,435,320.08/9,710.80
6. Step 6: Final answer
   x = 5,811.60