Finding the Fourth Proportional to 2,109.52, 2,911.02 and 1,178.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.52 : 2,911.02 = 1,178.08 : x
2. Step 2: Convert to fraction form
   2,109.52/2,911.02 = 1,178.08/x
3. Step 3: Cross multiply
   2,109.52x = 2,911.02 × 1,178.08
4. Step 4: Simplify right side
   2,109.52x = 3,429,414.44
5. Step 5: Solve for x
   x = 3,429,414.44/2,109.52
6. Step 6: Final answer
   x = 1,625.68