Finding the Fourth Proportional to 1,535.16, 2,118.54 and 836.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535.16 : 2,118.54 = 836.55 : x
2. Step 2: Convert to fraction form
   1,535.16/2,118.54 = 836.55/x
3. Step 3: Cross multiply
   1,535.16x = 2,118.54 × 836.55
4. Step 4: Simplify right side
   1,535.16x = 1,772,264.64
5. Step 5: Solve for x
   x = 1,772,264.64/1,535.16
6. Step 6: Final answer
   x = 1,154.45