Finding the Fourth Proportional to 1,409.38, 2,111.90 and 543.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.38 : 2,111.90 = 543.22 : x
2. Step 2: Convert to fraction form
   1,409.38/2,111.90 = 543.22/x
3. Step 3: Cross multiply
   1,409.38x = 2,111.90 × 543.22
4. Step 4: Simplify right side
   1,409.38x = 1,147,218.32
5. Step 5: Solve for x
   x = 1,147,218.32/1,409.38
6. Step 6: Final answer
   x = 813.99