Finding the Fourth Proportional to 2,119.34, 3,175.86 and 1,022.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,119.34 : 3,175.86 = 1,022.42 : x
2. Step 2: Convert to fraction form
   2,119.34/3,175.86 = 1,022.42/x
3. Step 3: Cross multiply
   2,119.34x = 3,175.86 × 1,022.42
4. Step 4: Simplify right side
   2,119.34x = 3,247,068.80
5. Step 5: Solve for x
   x = 3,247,068.80/2,119.34
6. Step 6: Final answer
   x = 1,532.11