Finding the Fourth Proportional to 10,574.27, 14,594.05 and 6,097.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574.27 : 14,594.05 = 6,097.15 : x
2. Step 2: Convert to fraction form
   10,574.27/14,594.05 = 6,097.15/x
3. Step 3: Cross multiply
   10,574.27x = 14,594.05 × 6,097.15
4. Step 4: Simplify right side
   10,574.27x = 88,982,111.96
5. Step 5: Solve for x
   x = 88,982,111.96/10,574.27
6. Step 6: Final answer
   x = 8,414.97