Finding the Fourth Proportional to 2,585.14, 3,874.54 and 1,196.60

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.14 : 3,874.54 = 1,196.60 : x
2. Step 2: Convert to fraction form
   2,585.14/3,874.54 = 1,196.60/x
3. Step 3: Cross multiply
   2,585.14x = 3,874.54 × 1,196.60
4. Step 4: Simplify right side
   2,585.14x = 4,636,274.56
5. Step 5: Solve for x
   x = 4,636,274.56/2,585.14
6. Step 6: Final answer
   x = 1,793.43