Finding the Fourth Proportional to 2,006.16, 3,006.72 and 1,185

Step by Step Solution

1. Step 1: Write the proportion equation
   2,006.16 : 3,006.72 = 1,185 : x
2. Step 2: Convert to fraction form
   2,006.16/3,006.72 = 1,185/x
3. Step 3: Cross multiply
   2,006.16x = 3,006.72 × 1,185
4. Step 4: Simplify right side
   2,006.16x = 3,562,963.20
5. Step 5: Solve for x
   x = 3,562,963.20/2,006.16
6. Step 6: Final answer
   x = 1,776.01