Finding the Fourth Proportional to 1,636.17, 2,454.89 and 769.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,636.17 : 2,454.89 = 769.88 : x
2. Step 2: Convert to fraction form
   1,636.17/2,454.89 = 769.88/x
3. Step 3: Cross multiply
   1,636.17x = 2,454.89 × 769.88
4. Step 4: Simplify right side
   1,636.17x = 1,889,954.59
5. Step 5: Solve for x
   x = 1,889,954.59/1,636.17
6. Step 6: Final answer
   x = 1,155.11