Finding the Fourth Proportional to 10,605.31, 14,635.82 and 5,889.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,605.31 : 14,635.82 = 5,889.61 : x
2. Step 2: Convert to fraction form
   10,605.31/14,635.82 = 5,889.61/x
3. Step 3: Cross multiply
   10,605.31x = 14,635.82 × 5,889.61
4. Step 4: Simplify right side
   10,605.31x = 86,199,271.83
5. Step 5: Solve for x
   x = 86,199,271.83/10,605.31
6. Step 6: Final answer
   x = 8,127.94