Finding the Fourth Proportional to 9,778.29, 14,666.71 and 3,114.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,778.29 : 14,666.71 = 3,114.53 : x
2. Step 2: Convert to fraction form
   9,778.29/14,666.71 = 3,114.53/x
3. Step 3: Cross multiply
   9,778.29x = 14,666.71 × 3,114.53
4. Step 4: Simplify right side
   9,778.29x = 45,679,908.30
5. Step 5: Solve for x
   x = 45,679,908.30/9,778.29
6. Step 6: Final answer
   x = 4,671.56