Finding the Fourth Proportional to 2,633.29, 3,949.12 and 784.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,633.29 : 3,949.12 = 784.06 : x
2. Step 2: Convert to fraction form
   2,633.29/3,949.12 = 784.06/x
3. Step 3: Cross multiply
   2,633.29x = 3,949.12 × 784.06
4. Step 4: Simplify right side
   2,633.29x = 3,096,347.03
5. Step 5: Solve for x
   x = 3,096,347.03/2,633.29
6. Step 6: Final answer
   x = 1,175.85