Finding the Fourth Proportional to 5,105.62, 7,643.82 and 3,459.24

Step by Step Solution

1. Step 1: Write the proportion equation
   5,105.62 : 7,643.82 = 3,459.24 : x
2. Step 2: Convert to fraction form
   5,105.62/7,643.82 = 3,459.24/x
3. Step 3: Cross multiply
   5,105.62x = 7,643.82 × 3,459.24
4. Step 4: Simplify right side
   5,105.62x = 26,441,827.01
5. Step 5: Solve for x
   x = 26,441,827.01/5,105.62
6. Step 6: Final answer
   x = 5,178.97