Finding the Fourth Proportional to 1,499.67, 2,248.47 and 768.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,499.67 : 2,248.47 = 768.75 : x
2. Step 2: Convert to fraction form
   1,499.67/2,248.47 = 768.75/x
3. Step 3: Cross multiply
   1,499.67x = 2,248.47 × 768.75
4. Step 4: Simplify right side
   1,499.67x = 1,728,511.31
5. Step 5: Solve for x
   x = 1,728,511.31/1,499.67
6. Step 6: Final answer
   x = 1,152.59