Finding the Fourth Proportional to 1,535.86, 2,119.50 and 837.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.86 : 2,119.50 = 837.23 : x
2. Step 2: Convert to fraction form
   1,535.86/2,119.50 = 837.23/x
3. Step 3: Cross multiply
   1,535.86x = 2,119.50 × 837.23
4. Step 4: Simplify right side
   1,535.86x = 1,774,504.80
5. Step 5: Solve for x
   x = 1,774,504.80/1,535.86
6. Step 6: Final answer
   x = 1,155.39