Finding the Fourth Proportional to 4,185.50, 5,777.61 and 2,792.30

Step by Step Solution

1. Step 1: Write the proportion equation
   4,185.50 : 5,777.61 = 2,792.30 : x
2. Step 2: Convert to fraction form
   4,185.50/5,777.61 = 2,792.30/x
3. Step 3: Cross multiply
   4,185.50x = 5,777.61 × 2,792.30
4. Step 4: Simplify right side
   4,185.50x = 16,132,820.40
5. Step 5: Solve for x
   x = 16,132,820.40/4,185.50
6. Step 6: Final answer
   x = 3,854.45