Finding the Fourth Proportional to 10,298.46, 14,208.53 and 5,821.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.46 : 14,208.53 = 5,821.77 : x
2. Step 2: Convert to fraction form
   10,298.46/14,208.53 = 5,821.77/x
3. Step 3: Cross multiply
   10,298.46x = 14,208.53 × 5,821.77
4. Step 4: Simplify right side
   10,298.46x = 82,718,764.59
5. Step 5: Solve for x
   x = 82,718,764.59/10,298.46
6. Step 6: Final answer
   x = 8,032.15