Finding the Fourth Proportional to 1,848.20, 2,769.83 and 677.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,848.20 : 2,769.83 = 677.10 : x
2. Step 2: Convert to fraction form
   1,848.20/2,769.83 = 677.10/x
3. Step 3: Cross multiply
   1,848.20x = 2,769.83 × 677.10
4. Step 4: Simplify right side
   1,848.20x = 1,875,448.51
5. Step 5: Solve for x
   x = 1,875,448.51/1,848.20
6. Step 6: Final answer
   x = 1,014.75