Finding the Fourth Proportional to 1,945.78, 2,685.68 and 1,200.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,945.78 : 2,685.68 = 1,200.34 : x
2. Step 2: Convert to fraction form
   1,945.78/2,685.68 = 1,200.34/x
3. Step 3: Cross multiply
   1,945.78x = 2,685.68 × 1,200.34
4. Step 4: Simplify right side
   1,945.78x = 3,223,729.13
5. Step 5: Solve for x
   x = 3,223,729.13/1,945.78
6. Step 6: Final answer
   x = 1,656.78