Finding the Fourth Proportional to 10,298.35, 14,211.61 and 5,760.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.35 : 14,211.61 = 5,760.97 : x
2. Step 2: Convert to fraction form
   10,298.35/14,211.61 = 5,760.97/x
3. Step 3: Cross multiply
   10,298.35x = 14,211.61 × 5,760.97
4. Step 4: Simplify right side
   10,298.35x = 81,872,673.26
5. Step 5: Solve for x
   x = 81,872,673.26/10,298.35
6. Step 6: Final answer
   x = 7,950.08