Finding the Fourth Proportional to 1,535.94, 2,119.59 and 837.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.94 : 2,119.59 = 837.27 : x
2. Step 2: Convert to fraction form
   1,535.94/2,119.59 = 837.27/x
3. Step 3: Cross multiply
   1,535.94x = 2,119.59 × 837.27
4. Step 4: Simplify right side
   1,535.94x = 1,774,669.12
5. Step 5: Solve for x
   x = 1,774,669.12/1,535.94
6. Step 6: Final answer
   x = 1,155.43