Finding the Fourth Proportional to 7,442.31, 10,271.00 and 4,085.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,442.31 : 10,271.00 = 4,085.78 : x
2. Step 2: Convert to fraction form
   7,442.31/10,271.00 = 4,085.78/x
3. Step 3: Cross multiply
   7,442.31x = 10,271.00 × 4,085.78
4. Step 4: Simplify right side
   7,442.31x = 41,965,082.27
5. Step 5: Solve for x
   x = 41,965,082.27/7,442.31
6. Step 6: Final answer
   x = 5,638.72