Finding the Fourth Proportional to 10,298.76, 14,212.21 and 5,822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.76 : 14,212.21 = 5,822.50 : x
2. Step 2: Convert to fraction form
   10,298.76/14,212.21 = 5,822.50/x
3. Step 3: Cross multiply
   10,298.76x = 14,212.21 × 5,822.50
4. Step 4: Simplify right side
   10,298.76x = 82,750,563.61
5. Step 5: Solve for x
   x = 82,750,563.61/10,298.76
6. Step 6: Final answer
   x = 8,035.01