Finding the Fourth Proportional to 9,693.14, 14,530.47 and 3,114.71

Step by Step Solution

1. Step 1: Write the proportion equation
   9,693.14 : 14,530.47 = 3,114.71 : x
2. Step 2: Convert to fraction form
   9,693.14/14,530.47 = 3,114.71/x
3. Step 3: Cross multiply
   9,693.14x = 14,530.47 × 3,114.71
4. Step 4: Simplify right side
   9,693.14x = 45,258,200.21
5. Step 5: Solve for x
   x = 45,258,200.21/9,693.14
6. Step 6: Final answer
   x = 4,669.10