Finding the Fourth Proportional to 2,823.06, 3,892.78 and 1,926.90

Step by Step Solution

1. Step 1: Write the proportion equation
   2,823.06 : 3,892.78 = 1,926.90 : x
2. Step 2: Convert to fraction form
   2,823.06/3,892.78 = 1,926.90/x
3. Step 3: Cross multiply
   2,823.06x = 3,892.78 × 1,926.90
4. Step 4: Simplify right side
   2,823.06x = 7,500,997.78
5. Step 5: Solve for x
   x = 7,500,997.78/2,823.06
6. Step 6: Final answer
   x = 2,657.05