Finding the Fourth Proportional to 10,460.64, 14,435.64 and 5,744.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.64 : 14,435.64 = 5,744.82 : x
2. Step 2: Convert to fraction form
   10,460.64/14,435.64 = 5,744.82/x
3. Step 3: Cross multiply
   10,460.64x = 14,435.64 × 5,744.82
4. Step 4: Simplify right side
   10,460.64x = 82,930,153.38
5. Step 5: Solve for x
   x = 82,930,153.38/10,460.64
6. Step 6: Final answer
   x = 7,927.83