Finding the Fourth Proportional to 2,543.49, 3,814.34 and 1,209.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,543.49 : 3,814.34 = 1,209.12 : x
2. Step 2: Convert to fraction form
   2,543.49/3,814.34 = 1,209.12/x
3. Step 3: Cross multiply
   2,543.49x = 3,814.34 × 1,209.12
4. Step 4: Simplify right side
   2,543.49x = 4,611,994.78
5. Step 5: Solve for x
   x = 4,611,994.78/2,543.49
6. Step 6: Final answer
   x = 1,813.25