Finding the Fourth Proportional to 10,283.75, 15,411.32 and 5,776.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,283.75 : 15,411.32 = 5,776.82 : x
2. Step 2: Convert to fraction form
   10,283.75/15,411.32 = 5,776.82/x
3. Step 3: Cross multiply
   10,283.75x = 15,411.32 × 5,776.82
4. Step 4: Simplify right side
   10,283.75x = 89,028,315.66
5. Step 5: Solve for x
   x = 89,028,315.66/10,283.75
6. Step 6: Final answer
   x = 8,657.19