Finding the Fourth Proportional to 10,298.13, 14,213.54 and 5,822.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,298.13 : 14,213.54 = 5,822.07 : x
2. Step 2: Convert to fraction form
   10,298.13/14,213.54 = 5,822.07/x
3. Step 3: Cross multiply
   10,298.13x = 14,213.54 × 5,822.07
4. Step 4: Simplify right side
   10,298.13x = 82,752,224.83
5. Step 5: Solve for x
   x = 82,752,224.83/10,298.13
6. Step 6: Final answer
   x = 8,035.66