Finding the Fourth Proportional to 2,158.17, 2,978.28 and 1,214

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.17 : 2,978.28 = 1,214 : x
2. Step 2: Convert to fraction form
   2,158.17/2,978.28 = 1,214/x
3. Step 3: Cross multiply
   2,158.17x = 2,978.28 × 1,214
4. Step 4: Simplify right side
   2,158.17x = 3,615,631.92
5. Step 5: Solve for x
   x = 3,615,631.92/2,158.17
6. Step 6: Final answer
   x = 1,675.32