Finding the Fourth Proportional to 2,171.67, 3,256.83 and 784.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,171.67 : 3,256.83 = 784.83 : x
2. Step 2: Convert to fraction form
   2,171.67/3,256.83 = 784.83/x
3. Step 3: Cross multiply
   2,171.67x = 3,256.83 × 784.83
4. Step 4: Simplify right side
   2,171.67x = 2,556,057.89
5. Step 5: Solve for x
   x = 2,556,057.89/2,171.67
6. Step 6: Final answer
   x = 1,177.00