Finding the Fourth Proportional to 10,260.54, 14,159.61 and 5,783.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,260.54 : 14,159.61 = 5,783.85 : x
2. Step 2: Convert to fraction form
   10,260.54/14,159.61 = 5,783.85/x
3. Step 3: Cross multiply
   10,260.54x = 14,159.61 × 5,783.85
4. Step 4: Simplify right side
   10,260.54x = 81,897,060.30
5. Step 5: Solve for x
   x = 81,897,060.30/10,260.54
6. Step 6: Final answer
   x = 7,981.75