Finding the Fourth Proportional to 4,085.74, 5,627.82 and 3,199.96

Step by Step Solution

1. Step 1: Write the proportion equation
   4,085.74 : 5,627.82 = 3,199.96 : x
2. Step 2: Convert to fraction form
   4,085.74/5,627.82 = 3,199.96/x
3. Step 3: Cross multiply
   4,085.74x = 5,627.82 × 3,199.96
4. Step 4: Simplify right side
   4,085.74x = 18,008,798.89
5. Step 5: Solve for x
   x = 18,008,798.89/4,085.74
6. Step 6: Final answer
   x = 4,407.72