Finding the Fourth Proportional to 1,535.63, 2,119.16 and 837.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.63 : 2,119.16 = 837.05 : x
2. Step 2: Convert to fraction form
   1,535.63/2,119.16 = 837.05/x
3. Step 3: Cross multiply
   1,535.63x = 2,119.16 × 837.05
4. Step 4: Simplify right side
   1,535.63x = 1,773,834.37
5. Step 5: Solve for x
   x = 1,773,834.37/1,535.63
6. Step 6: Final answer
   x = 1,155.12