Finding the Fourth Proportional to 6,097.20, 8,414.82 and 5,100.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,097.20 : 8,414.82 = 5,100.72 : x
2. Step 2: Convert to fraction form
   6,097.20/8,414.82 = 5,100.72/x
3. Step 3: Cross multiply
   6,097.20x = 8,414.82 × 5,100.72
4. Step 4: Simplify right side
   6,097.20x = 42,921,640.67
5. Step 5: Solve for x
   x = 42,921,640.67/6,097.20
6. Step 6: Final answer
   x = 7,039.57