Finding the Fourth Proportional to 10,659.72, 14,710.50 and 6,184.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,659.72 : 14,710.50 = 6,184.20 : x
2. Step 2: Convert to fraction form
   10,659.72/14,710.50 = 6,184.20/x
3. Step 3: Cross multiply
   10,659.72x = 14,710.50 × 6,184.20
4. Step 4: Simplify right side
   10,659.72x = 90,972,674.10
5. Step 5: Solve for x
   x = 90,972,674.10/10,659.72
6. Step 6: Final answer
   x = 8,534.25