Finding the Fourth Proportional to 6,105.65, 8,433.69 and 4,213.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,105.65 : 8,433.69 = 4,213.89 : x
2. Step 2: Convert to fraction form
   6,105.65/8,433.69 = 4,213.89/x
3. Step 3: Cross multiply
   6,105.65x = 8,433.69 × 4,213.89
4. Step 4: Simplify right side
   6,105.65x = 35,538,641.95
5. Step 5: Solve for x
   x = 35,538,641.95/6,105.65
6. Step 6: Final answer
   x = 5,820.62