Finding the Fourth Proportional to 10,464, 14,442.96 and 5,989.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464 : 14,442.96 = 5,989.15 : x
2. Step 2: Convert to fraction form
   10,464/14,442.96 = 5,989.15/x
3. Step 3: Cross multiply
   10,464x = 14,442.96 × 5,989.15
4. Step 4: Simplify right side
   10,464x = 86,501,053.88
5. Step 5: Solve for x
   x = 86,501,053.88/10,464
6. Step 6: Final answer
   x = 8,266.54