Finding the Fourth Proportional to 10,227.64, 14,109.40 and 5,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,227.64 : 14,109.40 = 5,978.88 : x
2. Step 2: Convert to fraction form
   10,227.64/14,109.40 = 5,978.88/x
3. Step 3: Cross multiply
   10,227.64x = 14,109.40 × 5,978.88
4. Step 4: Simplify right side
   10,227.64x = 84,358,409.47
5. Step 5: Solve for x
   x = 84,358,409.47/10,227.64
6. Step 6: Final answer
   x = 8,248.08