Finding the Fourth Proportional to 1,948.50, 2,687.78 and 1,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,948.50 : 2,687.78 = 1,162.50 : x
2. Step 2: Convert to fraction form
   1,948.50/2,687.78 = 1,162.50/x
3. Step 3: Cross multiply
   1,948.50x = 2,687.78 × 1,162.50
4. Step 4: Simplify right side
   1,948.50x = 3,124,544.25
5. Step 5: Solve for x
   x = 3,124,544.25/1,948.50
6. Step 6: Final answer
   x = 1,603.56