Finding the Fourth Proportional to 10,298.54, 14,211.84 and 5,822.18

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.54 : 14,211.84 = 5,822.18 : x
2. Step 2: Convert to fraction form
   10,298.54/14,211.84 = 5,822.18/x
3. Step 3: Cross multiply
   10,298.54x = 14,211.84 × 5,822.18
4. Step 4: Simplify right side
   10,298.54x = 82,743,890.61
5. Step 5: Solve for x
   x = 82,743,890.61/10,298.54
6. Step 6: Final answer
   x = 8,034.53