Finding the Fourth Proportional to 2,140.78, 3,212.14 and 1,165.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,140.78 : 3,212.14 = 1,165.42 : x
2. Step 2: Convert to fraction form
   2,140.78/3,212.14 = 1,165.42/x
3. Step 3: Cross multiply
   2,140.78x = 3,212.14 × 1,165.42
4. Step 4: Simplify right side
   2,140.78x = 3,743,492.20
5. Step 5: Solve for x
   x = 3,743,492.20/2,140.78
6. Step 6: Final answer
   x = 1,748.66