Finding the Fourth Proportional to 9,677.34, 14,513.58 and 3,102.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,677.34 : 14,513.58 = 3,102.12 : x
2. Step 2: Convert to fraction form
   9,677.34/14,513.58 = 3,102.12/x
3. Step 3: Cross multiply
   9,677.34x = 14,513.58 × 3,102.12
4. Step 4: Simplify right side
   9,677.34x = 45,022,866.79
5. Step 5: Solve for x
   x = 45,022,866.79/9,677.34
6. Step 6: Final answer
   x = 4,652.40