Finding the Fourth Proportional to 1,836.50, 2,536.53 and 1,214.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,836.50 : 2,536.53 = 1,214.42 : x
2. Step 2: Convert to fraction form
   1,836.50/2,536.53 = 1,214.42/x
3. Step 3: Cross multiply
   1,836.50x = 2,536.53 × 1,214.42
4. Step 4: Simplify right side
   1,836.50x = 3,080,412.76
5. Step 5: Solve for x
   x = 3,080,412.76/1,836.50
6. Step 6: Final answer
   x = 1,677.33