Finding the Fourth Proportional to 2,109.54, 2,911.50 and 1,178.04

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.54 : 2,911.50 = 1,178.04 : x
2. Step 2: Convert to fraction form
   2,109.54/2,911.50 = 1,178.04/x
3. Step 3: Cross multiply
   2,109.54x = 2,911.50 × 1,178.04
4. Step 4: Simplify right side
   2,109.54x = 3,429,863.46
5. Step 5: Solve for x
   x = 3,429,863.46/2,109.54
6. Step 6: Final answer
   x = 1,625.88