Finding the Fourth Proportional to 10,215.50, 14,097.60 and 5,739.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,215.50 : 14,097.60 = 5,739.66 : x
2. Step 2: Convert to fraction form
   10,215.50/14,097.60 = 5,739.66/x
3. Step 3: Cross multiply
   10,215.50x = 14,097.60 × 5,739.66
4. Step 4: Simplify right side
   10,215.50x = 80,915,430.82
5. Step 5: Solve for x
   x = 80,915,430.82/10,215.50
6. Step 6: Final answer
   x = 7,920.85