Finding the Fourth Proportional to 1,091.98, 1,636.89 and 543.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,091.98 : 1,636.89 = 543.34 : x
2. Step 2: Convert to fraction form
   1,091.98/1,636.89 = 543.34/x
3. Step 3: Cross multiply
   1,091.98x = 1,636.89 × 543.34
4. Step 4: Simplify right side
   1,091.98x = 889,387.81
5. Step 5: Solve for x
   x = 889,387.81/1,091.98
6. Step 6: Final answer
   x = 814.47