Finding the Fourth Proportional to 1,948.16, 2,687.68 and 1,162.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,948.16 : 2,687.68 = 1,162.24 : x
2. Step 2: Convert to fraction form
   1,948.16/2,687.68 = 1,162.24/x
3. Step 3: Cross multiply
   1,948.16x = 2,687.68 × 1,162.24
4. Step 4: Simplify right side
   1,948.16x = 3,123,729.20
5. Step 5: Solve for x
   x = 3,123,729.20/1,948.16
6. Step 6: Final answer
   x = 1,603.43