Finding the Fourth Proportional to 3,685.57, 5,085.25 and 2,091.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,685.57 : 5,085.25 = 2,091.83 : x
2. Step 2: Convert to fraction form
   3,685.57/5,085.25 = 2,091.83/x
3. Step 3: Cross multiply
   3,685.57x = 5,085.25 × 2,091.83
4. Step 4: Simplify right side
   3,685.57x = 10,637,476.46
5. Step 5: Solve for x
   x = 10,637,476.46/3,685.57
6. Step 6: Final answer
   x = 2,886.25