Finding the Fourth Proportional to 10,466.34, 14,443.88 and 5,989.74

Step by Step Solution

1. Step 1: Write the proportion equation
   10,466.34 : 14,443.88 = 5,989.74 : x
2. Step 2: Convert to fraction form
   10,466.34/14,443.88 = 5,989.74/x
3. Step 3: Cross multiply
   10,466.34x = 14,443.88 × 5,989.74
4. Step 4: Simplify right side
   10,466.34x = 86,515,085.79
5. Step 5: Solve for x
   x = 86,515,085.79/10,466.34
6. Step 6: Final answer
   x = 8,266.03