Finding the Fourth Proportional to 2,785.79, 4,178.69 and 838.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,785.79 : 4,178.69 = 838.00 : x
2. Step 2: Convert to fraction form
   2,785.79/4,178.69 = 838.00/x
3. Step 3: Cross multiply
   2,785.79x = 4,178.69 × 838.00
4. Step 4: Simplify right side
   2,785.79x = 3,501,722.89
5. Step 5: Solve for x
   x = 3,501,722.89/2,785.79
6. Step 6: Final answer
   x = 1,256.99