Finding the Fourth Proportional to 2,142.40, 3,214.56 and 1,116.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.40 : 3,214.56 = 1,116.32 : x
2. Step 2: Convert to fraction form
   2,142.40/3,214.56 = 1,116.32/x
3. Step 3: Cross multiply
   2,142.40x = 3,214.56 × 1,116.32
4. Step 4: Simplify right side
   2,142.40x = 3,588,477.62
5. Step 5: Solve for x
   x = 3,588,477.62/2,142.40
6. Step 6: Final answer
   x = 1,674.98