Finding the Fourth Proportional to 2,109.30, 2,910.78 and 1,177.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.30 : 2,910.78 = 1,177.80 : x
2. Step 2: Convert to fraction form
   2,109.30/2,910.78 = 1,177.80/x
3. Step 3: Cross multiply
   2,109.30x = 2,910.78 × 1,177.80
4. Step 4: Simplify right side
   2,109.30x = 3,428,316.68
5. Step 5: Solve for x
   x = 3,428,316.68/2,109.30
6. Step 6: Final answer
   x = 1,625.33