Finding the Fourth Proportional to 7,114.68, 10,688.22 and 5,146.38

Step by Step Solution

1. Step 1: Write the proportion equation
   7,114.68 : 10,688.22 = 5,146.38 : x
2. Step 2: Convert to fraction form
   7,114.68/10,688.22 = 5,146.38/x
3. Step 3: Cross multiply
   7,114.68x = 10,688.22 × 5,146.38
4. Step 4: Simplify right side
   7,114.68x = 55,005,641.64
5. Step 5: Solve for x
   x = 55,005,641.64/7,114.68
6. Step 6: Final answer
   x = 7,731.29