Finding the Fourth Proportional to 2,004.89, 3,008.42 and 835.70

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.89 : 3,008.42 = 835.70 : x
2. Step 2: Convert to fraction form
   2,004.89/3,008.42 = 835.70/x
3. Step 3: Cross multiply
   2,004.89x = 3,008.42 × 835.70
4. Step 4: Simplify right side
   2,004.89x = 2,514,132.42
5. Step 5: Solve for x
   x = 2,514,132.42/2,004.89
6. Step 6: Final answer
   x = 1,254.00