Finding the Fourth Proportional to 7,414.02, 11,123.82 and 3,853.92

Step by Step Solution

1. Step 1: Write the proportion equation
   7,414.02 : 11,123.82 = 3,853.92 : x
2. Step 2: Convert to fraction form
   7,414.02/11,123.82 = 3,853.92/x
3. Step 3: Cross multiply
   7,414.02x = 11,123.82 × 3,853.92
4. Step 4: Simplify right side
   7,414.02x = 42,870,312.37
5. Step 5: Solve for x
   x = 42,870,312.37/7,414.02
6. Step 6: Final answer
   x = 5,782.33