Finding the Fourth Proportional to 7,471.90, 10,311.39 and 4,114.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,471.90 : 10,311.39 = 4,114.78 : x
2. Step 2: Convert to fraction form
   7,471.90/10,311.39 = 4,114.78/x
3. Step 3: Cross multiply
   7,471.90x = 10,311.39 × 4,114.78
4. Step 4: Simplify right side
   7,471.90x = 42,429,101.34
5. Step 5: Solve for x
   x = 42,429,101.34/7,471.90
6. Step 6: Final answer
   x = 5,678.49