Finding the Fourth Proportional to 2,109.50, 2,911.17 and 1,178.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.50 : 2,911.17 = 1,178.06 : x
2. Step 2: Convert to fraction form
   2,109.50/2,911.17 = 1,178.06/x
3. Step 3: Cross multiply
   2,109.50x = 2,911.17 × 1,178.06
4. Step 4: Simplify right side
   2,109.50x = 3,429,532.93
5. Step 5: Solve for x
   x = 3,429,532.93/2,109.50
6. Step 6: Final answer
   x = 1,625.76