Finding the Fourth Proportional to 6,841.59, 10,256.17 and 2,458

Step by Step Solution

1. Step 1: Write the proportion equation
   6,841.59 : 10,256.17 = 2,458 : x
2. Step 2: Convert to fraction form
   6,841.59/10,256.17 = 2,458/x
3. Step 3: Cross multiply
   6,841.59x = 10,256.17 × 2,458
4. Step 4: Simplify right side
   6,841.59x = 25,209,665.86
5. Step 5: Solve for x
   x = 25,209,665.86/6,841.59
6. Step 6: Final answer
   x = 3,684.77