Finding the Fourth Proportional to 2,850.78, 3,931.41 and 1,892.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,850.78 : 3,931.41 = 1,892.00 : x
2. Step 2: Convert to fraction form
   2,850.78/3,931.41 = 1,892.00/x
3. Step 3: Cross multiply
   2,850.78x = 3,931.41 × 1,892.00
4. Step 4: Simplify right side
   2,850.78x = 7,438,208.06
5. Step 5: Solve for x
   x = 7,438,208.06/2,850.78
6. Step 6: Final answer
   x = 2,609.18