Finding the Fourth Proportional to 1,434.84, 2,150.46 and 776.70

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434.84 : 2,150.46 = 776.70 : x
2. Step 2: Convert to fraction form
   1,434.84/2,150.46 = 776.70/x
3. Step 3: Cross multiply
   1,434.84x = 2,150.46 × 776.70
4. Step 4: Simplify right side
   1,434.84x = 1,670,262.28
5. Step 5: Solve for x
   x = 1,670,262.28/1,434.84
6. Step 6: Final answer
   x = 1,164.08