Finding the Fourth Proportional to 10,459.42, 14,433.56 and 5,679.17

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.42 : 14,433.56 = 5,679.17 : x
2. Step 2: Convert to fraction form
   10,459.42/14,433.56 = 5,679.17/x
3. Step 3: Cross multiply
   10,459.42x = 14,433.56 × 5,679.17
4. Step 4: Simplify right side
   10,459.42x = 81,970,691.23
5. Step 5: Solve for x
   x = 81,970,691.23/10,459.42
6. Step 6: Final answer
   x = 7,837.02