Finding the Fourth Proportional to 10,227.74, 15,349.82 and 5,298.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,227.74 : 15,349.82 = 5,298.78 : x
2. Step 2: Convert to fraction form
   10,227.74/15,349.82 = 5,298.78/x
3. Step 3: Cross multiply
   10,227.74x = 15,349.82 × 5,298.78
4. Step 4: Simplify right side
   10,227.74x = 81,335,319.22
5. Step 5: Solve for x
   x = 81,335,319.22/10,227.74
6. Step 6: Final answer
   x = 7,952.42