Finding the Fourth Proportional to 2,585.43, 3,875.83 and 1,196.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.43 : 3,875.83 = 1,196.86 : x
2. Step 2: Convert to fraction form
   2,585.43/3,875.83 = 1,196.86/x
3. Step 3: Cross multiply
   2,585.43x = 3,875.83 × 1,196.86
4. Step 4: Simplify right side
   2,585.43x = 4,638,827.21
5. Step 5: Solve for x
   x = 4,638,827.21/2,585.43
6. Step 6: Final answer
   x = 1,794.22