Finding the Fourth Proportional to 1,548.14, 2,322.59 and 768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,548.14 : 2,322.59 = 768.50 : x
2. Step 2: Convert to fraction form
   1,548.14/2,322.59 = 768.50/x
3. Step 3: Cross multiply
   1,548.14x = 2,322.59 × 768.50
4. Step 4: Simplify right side
   1,548.14x = 1,784,912.38
5. Step 5: Solve for x
   x = 1,784,912.38/1,548.14
6. Step 6: Final answer
   x = 1,152.94