Finding the Fourth Proportional to 6,095.85, 8,416.37 and 3,828.15

Step by Step Solution

1. Step 1: Write the proportion equation
   6,095.85 : 8,416.37 = 3,828.15 : x
2. Step 2: Convert to fraction form
   6,095.85/8,416.37 = 3,828.15/x
3. Step 3: Cross multiply
   6,095.85x = 8,416.37 × 3,828.15
4. Step 4: Simplify right side
   6,095.85x = 32,219,126.82
5. Step 5: Solve for x
   x = 32,219,126.82/6,095.85
6. Step 6: Final answer
   x = 5,285.42