Finding the Fourth Proportional to 2,109.75, 2,911.46 and 1,178.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,109.75 : 2,911.46 = 1,178.25 : x
2. Step 2: Convert to fraction form
   2,109.75/2,911.46 = 1,178.25/x
3. Step 3: Cross multiply
   2,109.75x = 2,911.46 × 1,178.25
4. Step 4: Simplify right side
   2,109.75x = 3,430,427.75
5. Step 5: Solve for x
   x = 3,430,427.75/2,109.75
6. Step 6: Final answer
   x = 1,625.99