Finding the Fourth Proportional to 2,002.35, 2,764.61 and 1,295.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.35 : 2,764.61 = 1,295.91 : x
2. Step 2: Convert to fraction form
   2,002.35/2,764.61 = 1,295.91/x
3. Step 3: Cross multiply
   2,002.35x = 2,764.61 × 1,295.91
4. Step 4: Simplify right side
   2,002.35x = 3,582,685.75
5. Step 5: Solve for x
   x = 3,582,685.75/2,002.35
6. Step 6: Final answer
   x = 1,789.24