Finding the Fourth Proportional to 10,459.77, 14,434.50 and 5,744.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,459.77 : 14,434.50 = 5,744.35 : x
2. Step 2: Convert to fraction form
   10,459.77/14,434.50 = 5,744.35/x
3. Step 3: Cross multiply
   10,459.77x = 14,434.50 × 5,744.35
4. Step 4: Simplify right side
   10,459.77x = 82,916,820.08
5. Step 5: Solve for x
   x = 82,916,820.08/10,459.77
6. Step 6: Final answer
   x = 7,927.21