Finding the Fourth Proportional to 1,849.42, 2,553.42 and 1,186.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849.42 : 2,553.42 = 1,186.57 : x
2. Step 2: Convert to fraction form
   1,849.42/2,553.42 = 1,186.57/x
3. Step 3: Cross multiply
   1,849.42x = 2,553.42 × 1,186.57
4. Step 4: Simplify right side
   1,849.42x = 3,029,811.57
5. Step 5: Solve for x
   x = 3,029,811.57/1,849.42
6. Step 6: Final answer
   x = 1,638.25