Finding the Fourth Proportional to 1,946.43, 2,917.82 and 775.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,946.43 : 2,917.82 = 775.47 : x
2. Step 2: Convert to fraction form
   1,946.43/2,917.82 = 775.47/x
3. Step 3: Cross multiply
   1,946.43x = 2,917.82 × 775.47
4. Step 4: Simplify right side
   1,946.43x = 2,262,694.76
5. Step 5: Solve for x
   x = 2,262,694.76/1,946.43
6. Step 6: Final answer
   x = 1,162.48