Finding the Fourth Proportional to 7,471.56, 10,311 and 4,114.52

Step by Step Solution

1. Step 1: Write the proportion equation
   7,471.56 : 10,311 = 4,114.52 : x
2. Step 2: Convert to fraction form
   7,471.56/10,311 = 4,114.52/x
3. Step 3: Cross multiply
   7,471.56x = 10,311 × 4,114.52
4. Step 4: Simplify right side
   7,471.56x = 42,424,815.72
5. Step 5: Solve for x
   x = 42,424,815.72/7,471.56
6. Step 6: Final answer
   x = 5,678.17