Finding the Fourth Proportional to 6,097.80, 8,415.53 and 3,830.79

Step by Step Solution

1. Step 1: Write the proportion equation
   6,097.80 : 8,415.53 = 3,830.79 : x
2. Step 2: Convert to fraction form
   6,097.80/8,415.53 = 3,830.79/x
3. Step 3: Cross multiply
   6,097.80x = 8,415.53 × 3,830.79
4. Step 4: Simplify right side
   6,097.80x = 32,238,109.01
5. Step 5: Solve for x
   x = 32,238,109.01/6,097.80
6. Step 6: Final answer
   x = 5,286.84