Finding the Fourth Proportional to 2,180.77, 3,009.47 and 1,186.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.77 : 3,009.47 = 1,186.05 : x
2. Step 2: Convert to fraction form
   2,180.77/3,009.47 = 1,186.05/x
3. Step 3: Cross multiply
   2,180.77x = 3,009.47 × 1,186.05
4. Step 4: Simplify right side
   2,180.77x = 3,569,381.89
5. Step 5: Solve for x
   x = 3,569,381.89/2,180.77
6. Step 6: Final answer
   x = 1,636.75