Finding the Fourth Proportional to 3,656.94, 5,046.61 and 2,085.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,656.94 : 5,046.61 = 2,085.14 : x
2. Step 2: Convert to fraction form
   3,656.94/5,046.61 = 2,085.14/x
3. Step 3: Cross multiply
   3,656.94x = 5,046.61 × 2,085.14
4. Step 4: Simplify right side
   3,656.94x = 10,522,857.93
5. Step 5: Solve for x
   x = 10,522,857.93/3,656.94
6. Step 6: Final answer
   x = 2,877.50