Finding the Fourth Proportional to 10,638.31, 14,680.28 and 5,857.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.31 : 14,680.28 = 5,857.32 : x
2. Step 2: Convert to fraction form
   10,638.31/14,680.28 = 5,857.32/x
3. Step 3: Cross multiply
   10,638.31x = 14,680.28 × 5,857.32
4. Step 4: Simplify right side
   10,638.31x = 85,987,024.25
5. Step 5: Solve for x
   x = 85,987,024.25/10,638.31
6. Step 6: Final answer
   x = 8,082.77