Finding the Fourth Proportional to 10,260.54, 14,159.34 and 5,784.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,260.54 : 14,159.34 = 5,784.21 : x
2. Step 2: Convert to fraction form
   10,260.54/14,159.34 = 5,784.21/x
3. Step 3: Cross multiply
   10,260.54x = 14,159.34 × 5,784.21
4. Step 4: Simplify right side
   10,260.54x = 81,900,596.02
5. Step 5: Solve for x
   x = 81,900,596.02/10,260.54
6. Step 6: Final answer
   x = 7,982.09