Finding the Fourth Proportional to 2,117.34, 3,175.83 and 578.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,117.34 : 3,175.83 = 578.34 : x
2. Step 2: Convert to fraction form
   2,117.34/3,175.83 = 578.34/x
3. Step 3: Cross multiply
   2,117.34x = 3,175.83 × 578.34
4. Step 4: Simplify right side
   2,117.34x = 1,836,709.52
5. Step 5: Solve for x
   x = 1,836,709.52/2,117.34
6. Step 6: Final answer
   x = 867.46