Finding the Fourth Proportional to 1,897.25, 2,845.78 and 727.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,897.25 : 2,845.78 = 727.82 : x
2. Step 2: Convert to fraction form
   1,897.25/2,845.78 = 727.82/x
3. Step 3: Cross multiply
   1,897.25x = 2,845.78 × 727.82
4. Step 4: Simplify right side
   1,897.25x = 2,071,199.55
5. Step 5: Solve for x
   x = 2,071,199.55/1,897.25
6. Step 6: Final answer
   x = 1,091.68