Finding the Fourth Proportional to 10,459.54, 14,434.17 and 5,679.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.54 : 14,434.17 = 5,679.46 : x
2. Step 2: Convert to fraction form
   10,459.54/14,434.17 = 5,679.46/x
3. Step 3: Cross multiply
   10,459.54x = 14,434.17 × 5,679.46
4. Step 4: Simplify right side
   10,459.54x = 81,978,287.89
5. Step 5: Solve for x
   x = 81,978,287.89/10,459.54
6. Step 6: Final answer
   x = 7,837.66