Finding the Fourth Proportional to 6,097.60, 8,418.78 and 3,829.90

Step by Step Solution

1. Step 1: Write the proportion equation
   6,097.60 : 8,418.78 = 3,829.90 : x
2. Step 2: Convert to fraction form
   6,097.60/8,418.78 = 3,829.90/x
3. Step 3: Cross multiply
   6,097.60x = 8,418.78 × 3,829.90
4. Step 4: Simplify right side
   6,097.60x = 32,243,085.52
5. Step 5: Solve for x
   x = 32,243,085.52/6,097.60
6. Step 6: Final answer
   x = 5,287.83