Finding the Fourth Proportional to 7,472.04, 10,311.46 and 4,114.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,472.04 : 10,311.46 = 4,114.78 : x
2. Step 2: Convert to fraction form
   7,472.04/10,311.46 = 4,114.78/x
3. Step 3: Cross multiply
   7,472.04x = 10,311.46 × 4,114.78
4. Step 4: Simplify right side
   7,472.04x = 42,429,389.38
5. Step 5: Solve for x
   x = 42,429,389.38/7,472.04
6. Step 6: Final answer
   x = 5,678.42