Finding the Fourth Proportional to 2,095.78, 2,892.06 and 1,256.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,095.78 : 2,892.06 = 1,256.86 : x
2. Step 2: Convert to fraction form
   2,095.78/2,892.06 = 1,256.86/x
3. Step 3: Cross multiply
   2,095.78x = 2,892.06 × 1,256.86
4. Step 4: Simplify right side
   2,095.78x = 3,634,914.53
5. Step 5: Solve for x
   x = 3,634,914.53/2,095.78
6. Step 6: Final answer
   x = 1,734.40