Finding the Fourth Proportional to 10,202.94, 15,291.45 and 5,822.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,202.94 : 15,291.45 = 5,822.82 : x
2. Step 2: Convert to fraction form
   10,202.94/15,291.45 = 5,822.82/x
3. Step 3: Cross multiply
   10,202.94x = 15,291.45 × 5,822.82
4. Step 4: Simplify right side
   10,202.94x = 89,039,360.89
5. Step 5: Solve for x
   x = 89,039,360.89/10,202.94
6. Step 6: Final answer
   x = 8,726.83