Finding the Fourth Proportional to 7,002.68, 9,656.58 and 5,114.56

Step by Step Solution

1. Step 1: Write the proportion equation
   7,002.68 : 9,656.58 = 5,114.56 : x
2. Step 2: Convert to fraction form
   7,002.68/9,656.58 = 5,114.56/x
3. Step 3: Cross multiply
   7,002.68x = 9,656.58 × 5,114.56
4. Step 4: Simplify right side
   7,002.68x = 49,389,157.80
5. Step 5: Solve for x
   x = 49,389,157.80/7,002.68
6. Step 6: Final answer
   x = 7,052.89