Finding the Fourth Proportional to 2,074.50, 2,862.16 and 1,178.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.50 : 2,862.16 = 1,178.09 : x
2. Step 2: Convert to fraction form
   2,074.50/2,862.16 = 1,178.09/x
3. Step 3: Cross multiply
   2,074.50x = 2,862.16 × 1,178.09
4. Step 4: Simplify right side
   2,074.50x = 3,371,882.07
5. Step 5: Solve for x
   x = 3,371,882.07/2,074.50
6. Step 6: Final answer
   x = 1,625.40