Finding the Fourth Proportional to 10,298.88, 14,213.18 and 5,822.67

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.88 : 14,213.18 = 5,822.67 : x
2. Step 2: Convert to fraction form
   10,298.88/14,213.18 = 5,822.67/x
3. Step 3: Cross multiply
   10,298.88x = 14,213.18 × 5,822.67
4. Step 4: Simplify right side
   10,298.88x = 82,758,656.79
5. Step 5: Solve for x
   x = 82,758,656.79/10,298.88
6. Step 6: Final answer
   x = 8,035.69