Finding the Fourth Proportional to 10,298.14, 14,212.05 and 5,822.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.14 : 14,212.05 = 5,822.31 : x
2. Step 2: Convert to fraction form
   10,298.14/14,212.05 = 5,822.31/x
3. Step 3: Cross multiply
   10,298.14x = 14,212.05 × 5,822.31
4. Step 4: Simplify right side
   10,298.14x = 82,746,860.66
5. Step 5: Solve for x
   x = 82,746,860.66/10,298.14
6. Step 6: Final answer
   x = 8,035.13