Finding the Fourth Proportional to 1,694.16, 2,542.55 and 1,109.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,694.16 : 2,542.55 = 1,109.00 : x
2. Step 2: Convert to fraction form
   1,694.16/2,542.55 = 1,109.00/x
3. Step 3: Cross multiply
   1,694.16x = 2,542.55 × 1,109.00
4. Step 4: Simplify right side
   1,694.16x = 2,819,669.69
5. Step 5: Solve for x
   x = 2,819,669.69/1,694.16
6. Step 6: Final answer
   x = 1,664.35