Finding the Fourth Proportional to 10,275.84, 14,180.78 and 5,799.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,275.84 : 14,180.78 = 5,799.65 : x
2. Step 2: Convert to fraction form
   10,275.84/14,180.78 = 5,799.65/x
3. Step 3: Cross multiply
   10,275.84x = 14,180.78 × 5,799.65
4. Step 4: Simplify right side
   10,275.84x = 82,243,560.73
5. Step 5: Solve for x
   x = 82,243,560.73/10,275.84
6. Step 6: Final answer
   x = 8,003.59