Finding the Fourth Proportional to 2,633.63, 3,949.18 and 784.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,633.63 : 3,949.18 = 784.09 : x
2. Step 2: Convert to fraction form
   2,633.63/3,949.18 = 784.09/x
3. Step 3: Cross multiply
   2,633.63x = 3,949.18 × 784.09
4. Step 4: Simplify right side
   2,633.63x = 3,096,500.71
5. Step 5: Solve for x
   x = 3,096,500.71/2,633.63
6. Step 6: Final answer
   x = 1,175.76