Finding the Fourth Proportional to 2,233.60, 3,082.14 and 1,238.62

Step by Step Solution

1. Step 1: Write the proportion equation
   2,233.60 : 3,082.14 = 1,238.62 : x
2. Step 2: Convert to fraction form
   2,233.60/3,082.14 = 1,238.62/x
3. Step 3: Cross multiply
   2,233.60x = 3,082.14 × 1,238.62
4. Step 4: Simplify right side
   2,233.60x = 3,817,600.25
5. Step 5: Solve for x
   x = 3,817,600.25/2,233.60
6. Step 6: Final answer
   x = 1,709.17