Finding the Fourth Proportional to 10,605.74, 14,635.71 and 5,889.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,605.74 : 14,635.71 = 5,889.86 : x
2. Step 2: Convert to fraction form
   10,605.74/14,635.71 = 5,889.86/x
3. Step 3: Cross multiply
   10,605.74x = 14,635.71 × 5,889.86
4. Step 4: Simplify right side
   10,605.74x = 86,202,282.90
5. Step 5: Solve for x
   x = 86,202,282.90/10,605.74
6. Step 6: Final answer
   x = 8,127.89