Finding the Fourth Proportional to 2,109.78, 2,911.17 and 1,178.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.78 : 2,911.17 = 1,178.10 : x
2. Step 2: Convert to fraction form
   2,109.78/2,911.17 = 1,178.10/x
3. Step 3: Cross multiply
   2,109.78x = 2,911.17 × 1,178.10
4. Step 4: Simplify right side
   2,109.78x = 3,429,649.38
5. Step 5: Solve for x
   x = 3,429,649.38/2,109.78
6. Step 6: Final answer
   x = 1,625.60