Finding the Fourth Proportional to 2,582.30, 3,870.69 and 1,194.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.30 : 3,870.69 = 1,194.02 : x
2. Step 2: Convert to fraction form
   2,582.30/3,870.69 = 1,194.02/x
3. Step 3: Cross multiply
   2,582.30x = 3,870.69 × 1,194.02
4. Step 4: Simplify right side
   2,582.30x = 4,621,681.27
5. Step 5: Solve for x
   x = 4,621,681.27/2,582.30
6. Step 6: Final answer
   x = 1,789.75