Finding the Fourth Proportional to 1,906.25, 2,864.51 and 1,781.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,906.25 : 2,864.51 = 1,781.69 : x
2. Step 2: Convert to fraction form
   1,906.25/2,864.51 = 1,781.69/x
3. Step 3: Cross multiply
   1,906.25x = 2,864.51 × 1,781.69
4. Step 4: Simplify right side
   1,906.25x = 5,103,659.91
5. Step 5: Solve for x
   x = 5,103,659.91/1,906.25
6. Step 6: Final answer
   x = 2,677.33