Finding the Fourth Proportional to 7,002.14, 10,502.13 and 3,105.86

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.14 : 10,502.13 = 3,105.86 : x
2. Step 2: Convert to fraction form
   7,002.14/10,502.13 = 3,105.86/x
3. Step 3: Cross multiply
   7,002.14x = 10,502.13 × 3,105.86
4. Step 4: Simplify right side
   7,002.14x = 32,618,145.48
5. Step 5: Solve for x
   x = 32,618,145.48/7,002.14
6. Step 6: Final answer
   x = 4,658.31