Finding the Fourth Proportional to 3,827.90, 5,736.98 and 2,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,827.90 : 5,736.98 = 2,094.50 : x
2. Step 2: Convert to fraction form
   3,827.90/5,736.98 = 2,094.50/x
3. Step 3: Cross multiply
   3,827.90x = 5,736.98 × 2,094.50
4. Step 4: Simplify right side
   3,827.90x = 12,016,104.61
5. Step 5: Solve for x
   x = 12,016,104.61/3,827.90
6. Step 6: Final answer
   x = 3,139.09