Finding the Fourth Proportional to 2,111.64, 2,913.78 and 1,180.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.64 : 2,913.78 = 1,180.20 : x
2. Step 2: Convert to fraction form
   2,111.64/2,913.78 = 1,180.20/x
3. Step 3: Cross multiply
   2,111.64x = 2,913.78 × 1,180.20
4. Step 4: Simplify right side
   2,111.64x = 3,438,843.16
5. Step 5: Solve for x
   x = 3,438,843.16/2,111.64
6. Step 6: Final answer
   x = 1,628.52