Finding the Fourth Proportional to 1,849.47, 2,552.50 and 1,186.08

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849.47 : 2,552.50 = 1,186.08 : x
2. Step 2: Convert to fraction form
   1,849.47/2,552.50 = 1,186.08/x
3. Step 3: Cross multiply
   1,849.47x = 2,552.50 × 1,186.08
4. Step 4: Simplify right side
   1,849.47x = 3,027,469.20
5. Step 5: Solve for x
   x = 3,027,469.20/1,849.47
6. Step 6: Final answer
   x = 1,636.94