Finding the Fourth Proportional to 1,535.36, 2,118.81 and 836.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.36 : 2,118.81 = 836.78 : x
2. Step 2: Convert to fraction form
   1,535.36/2,118.81 = 836.78/x
3. Step 3: Cross multiply
   1,535.36x = 2,118.81 × 836.78
4. Step 4: Simplify right side
   1,535.36x = 1,772,977.83
5. Step 5: Solve for x
   x = 1,772,977.83/1,535.36
6. Step 6: Final answer
   x = 1,154.76