Finding the Fourth Proportional to 2,158.58, 2,978.63 and 1,214.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.58 : 2,978.63 = 1,214.16 : x
2. Step 2: Convert to fraction form
   2,158.58/2,978.63 = 1,214.16/x
3. Step 3: Cross multiply
   2,158.58x = 2,978.63 × 1,214.16
4. Step 4: Simplify right side
   2,158.58x = 3,616,533.40
5. Step 5: Solve for x
   x = 3,616,533.40/2,158.58
6. Step 6: Final answer
   x = 1,675.42