Finding the Fourth Proportional to 1,535.13, 2,118.52 and 836.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.13 : 2,118.52 = 836.55 : x
2. Step 2: Convert to fraction form
   1,535.13/2,118.52 = 836.55/x
3. Step 3: Cross multiply
   1,535.13x = 2,118.52 × 836.55
4. Step 4: Simplify right side
   1,535.13x = 1,772,247.91
5. Step 5: Solve for x
   x = 1,772,247.91/1,535.13
6. Step 6: Final answer
   x = 1,154.46