Finding the Fourth Proportional to 2,158.50, 2,978.46 and 1,214.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.50 : 2,978.46 = 1,214.10 : x
2. Step 2: Convert to fraction form
   2,158.50/2,978.46 = 1,214.10/x
3. Step 3: Cross multiply
   2,158.50x = 2,978.46 × 1,214.10
4. Step 4: Simplify right side
   2,158.50x = 3,616,148.29
5. Step 5: Solve for x
   x = 3,616,148.29/2,158.50
6. Step 6: Final answer
   x = 1,675.31