Finding the Fourth Proportional to 1,238.48, 1,708.25 and 766.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,238.48 : 1,708.25 = 766.01 : x
2. Step 2: Convert to fraction form
   1,238.48/1,708.25 = 766.01/x
3. Step 3: Cross multiply
   1,238.48x = 1,708.25 × 766.01
4. Step 4: Simplify right side
   1,238.48x = 1,308,524.21
5. Step 5: Solve for x
   x = 1,308,524.21/1,238.48
6. Step 6: Final answer
   x = 1,056.56