Finding the Fourth Proportional to 2,835.86, 3,914.86 and 1,892.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,835.86 : 3,914.86 = 1,892.20 : x
2. Step 2: Convert to fraction form
   2,835.86/3,914.86 = 1,892.20/x
3. Step 3: Cross multiply
   2,835.86x = 3,914.86 × 1,892.20
4. Step 4: Simplify right side
   2,835.86x = 7,407,698.09
5. Step 5: Solve for x
   x = 7,407,698.09/2,835.86
6. Step 6: Final answer
   x = 2,612.15