Finding the Fourth Proportional to 10,638.31, 14,680.75 and 5,858.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638.31 : 14,680.75 = 5,858.16 : x
2. Step 2: Convert to fraction form
   10,638.31/14,680.75 = 5,858.16/x
3. Step 3: Cross multiply
   10,638.31x = 14,680.75 × 5,858.16
4. Step 4: Simplify right side
   10,638.31x = 86,002,079.73
5. Step 5: Solve for x
   x = 86,002,079.73/10,638.31
6. Step 6: Final answer
   x = 8,084.19