Finding the Fourth Proportional to 10,460.38, 14,435.43 and 5,744.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.38 : 14,435.43 = 5,744.76 : x
2. Step 2: Convert to fraction form
   10,460.38/14,435.43 = 5,744.76/x
3. Step 3: Cross multiply
   10,460.38x = 14,435.43 × 5,744.76
4. Step 4: Simplify right side
   10,460.38x = 82,928,052.12
5. Step 5: Solve for x
   x = 82,928,052.12/10,460.38
6. Step 6: Final answer
   x = 7,927.83