Finding the Fourth Proportional to 2,085.80, 3,121.38 and 1,536.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,085.80 : 3,121.38 = 1,536.62 : x
2. Step 2: Convert to fraction form
   2,085.80/3,121.38 = 1,536.62/x
3. Step 3: Cross multiply
   2,085.80x = 3,121.38 × 1,536.62
4. Step 4: Simplify right side
   2,085.80x = 4,796,359.33
5. Step 5: Solve for x
   x = 4,796,359.33/2,085.80
6. Step 6: Final answer
   x = 2,299.54