Finding the Fourth Proportional to 10,260.48, 14,159.46 and 5,784.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,260.48 : 14,159.46 = 5,784.24 : x
2. Step 2: Convert to fraction form
   10,260.48/14,159.46 = 5,784.24/x
3. Step 3: Cross multiply
   10,260.48x = 14,159.46 × 5,784.24
4. Step 4: Simplify right side
   10,260.48x = 81,901,714.91
5. Step 5: Solve for x
   x = 81,901,714.91/10,260.48
6. Step 6: Final answer
   x = 7,982.25