Finding the Fourth Proportional to 2,171.57, 3,256.49 and 784.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,171.57 : 3,256.49 = 784.16 : x
2. Step 2: Convert to fraction form
   2,171.57/3,256.49 = 784.16/x
3. Step 3: Cross multiply
   2,171.57x = 3,256.49 × 784.16
4. Step 4: Simplify right side
   2,171.57x = 2,553,592.92
5. Step 5: Solve for x
   x = 2,553,592.92/2,171.57
6. Step 6: Final answer
   x = 1,175.92