Finding the Fourth Proportional to 1,849.80, 2,552.00 and 1,186.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,849.80 : 2,552.00 = 1,186.55 : x
2. Step 2: Convert to fraction form
   1,849.80/2,552.00 = 1,186.55/x
3. Step 3: Cross multiply
   1,849.80x = 2,552.00 × 1,186.55
4. Step 4: Simplify right side
   1,849.80x = 3,028,056.91
5. Step 5: Solve for x
   x = 3,028,056.91/1,849.80
6. Step 6: Final answer
   x = 1,636.96