Finding the Fourth Proportional to 1,549.34, 2,322.25 and 769.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,549.34 : 2,322.25 = 769.88 : x
2. Step 2: Convert to fraction form
   1,549.34/2,322.25 = 769.88/x
3. Step 3: Cross multiply
   1,549.34x = 2,322.25 × 769.88
4. Step 4: Simplify right side
   1,549.34x = 1,787,857.71
5. Step 5: Solve for x
   x = 1,787,857.71/1,549.34
6. Step 6: Final answer
   x = 1,153.95