Finding the Fourth Proportional to 2,007.54, 3,013.12 and 1,186.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,007.54 : 3,013.12 = 1,186.56 : x
2. Step 2: Convert to fraction form
   2,007.54/3,013.12 = 1,186.56/x
3. Step 3: Cross multiply
   2,007.54x = 3,013.12 × 1,186.56
4. Step 4: Simplify right side
   2,007.54x = 3,575,247.67
5. Step 5: Solve for x
   x = 3,575,247.67/2,007.54
6. Step 6: Final answer
   x = 1,780.91