Finding the Fourth Proportional to 10,460.67, 14,435.38 and 5,744.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,460.67 : 14,435.38 = 5,744.64 : x
2. Step 2: Convert to fraction form
   10,460.67/14,435.38 = 5,744.64/x
3. Step 3: Cross multiply
   10,460.67x = 14,435.38 × 5,744.64
4. Step 4: Simplify right side
   10,460.67x = 82,926,061.36
5. Step 5: Solve for x
   x = 82,926,061.36/10,460.67
6. Step 6: Final answer
   x = 7,927.41