Finding the Fourth Proportional to 1,200.12, 1,656.78 and 758.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.12 : 1,656.78 = 758.48 : x
2. Step 2: Convert to fraction form
   1,200.12/1,656.78 = 758.48/x
3. Step 3: Cross multiply
   1,200.12x = 1,656.78 × 758.48
4. Step 4: Simplify right side
   1,200.12x = 1,256,634.49
5. Step 5: Solve for x
   x = 1,256,634.49/1,200.12
6. Step 6: Final answer
   x = 1,047.09