Finding the Fourth Proportional to 2,585.34, 3,876.27 and 1,196.79

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.34 : 3,876.27 = 1,196.79 : x
2. Step 2: Convert to fraction form
   2,585.34/3,876.27 = 1,196.79/x
3. Step 3: Cross multiply
   2,585.34x = 3,876.27 × 1,196.79
4. Step 4: Simplify right side
   2,585.34x = 4,639,081.17
5. Step 5: Solve for x
   x = 4,639,081.17/2,585.34
6. Step 6: Final answer
   x = 1,794.38