Finding the Fourth Proportional to 1,534.78, 2,118.00 and 836.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.78 : 2,118.00 = 836.16 : x
2. Step 2: Convert to fraction form
   1,534.78/2,118.00 = 836.16/x
3. Step 3: Cross multiply
   1,534.78x = 2,118.00 × 836.16
4. Step 4: Simplify right side
   1,534.78x = 1,770,982.70
5. Step 5: Solve for x
   x = 1,770,982.70/1,534.78
6. Step 6: Final answer
   x = 1,153.90