Finding the Fourth Proportional to 1,549.62, 2,322.32 and 768.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.62 : 2,322.32 = 768.42 : x
2. Step 2: Convert to fraction form
   1,549.62/2,322.32 = 768.42/x
3. Step 3: Cross multiply
   1,549.62x = 2,322.32 × 768.42
4. Step 4: Simplify right side
   1,549.62x = 1,784,513.29
5. Step 5: Solve for x
   x = 1,784,513.29/1,549.62
6. Step 6: Final answer
   x = 1,151.58