Finding the Fourth Proportional to 10,459.16, 14,433.48 and 5,743.40

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.16 : 14,433.48 = 5,743.40 : x
2. Step 2: Convert to fraction form
   10,459.16/14,433.48 = 5,743.40/x
3. Step 3: Cross multiply
   10,459.16x = 14,433.48 × 5,743.40
4. Step 4: Simplify right side
   10,459.16x = 82,897,249.03
5. Step 5: Solve for x
   x = 82,897,249.03/10,459.16
6. Step 6: Final answer
   x = 7,925.80