Finding the Fourth Proportional to 1,534.82, 2,118.06 and 836.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,534.82 : 2,118.06 = 836.22 : x
2. Step 2: Convert to fraction form
   1,534.82/2,118.06 = 836.22/x
3. Step 3: Cross multiply
   1,534.82x = 2,118.06 × 836.22
4. Step 4: Simplify right side
   1,534.82x = 1,771,164.13
5. Step 5: Solve for x
   x = 1,771,164.13/1,534.82
6. Step 6: Final answer
   x = 1,153.99