Finding the Fourth Proportional to 2,582.42, 3,872.82 and 1,194.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.42 : 3,872.82 = 1,194.50 : x
2. Step 2: Convert to fraction form
   2,582.42/3,872.82 = 1,194.50/x
3. Step 3: Cross multiply
   2,582.42x = 3,872.82 × 1,194.50
4. Step 4: Simplify right side
   2,582.42x = 4,626,083.49
5. Step 5: Solve for x
   x = 4,626,083.49/2,582.42
6. Step 6: Final answer
   x = 1,791.38