Finding the Fourth Proportional to 2,665.64, 3,997.81 and 1,184.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,665.64 : 3,997.81 = 1,184.05 : x
2. Step 2: Convert to fraction form
   2,665.64/3,997.81 = 1,184.05/x
3. Step 3: Cross multiply
   2,665.64x = 3,997.81 × 1,184.05
4. Step 4: Simplify right side
   2,665.64x = 4,733,598.42
5. Step 5: Solve for x
   x = 4,733,598.42/2,665.64
6. Step 6: Final answer
   x = 1,775.78