Finding the Fourth Proportional to 1,393.50, 1,923.09 and 772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,393.50 : 1,923.09 = 772.50 : x
2. Step 2: Convert to fraction form
   1,393.50/1,923.09 = 772.50/x
3. Step 3: Cross multiply
   1,393.50x = 1,923.09 × 772.50
4. Step 4: Simplify right side
   1,393.50x = 1,485,587.03
5. Step 5: Solve for x
   x = 1,485,587.03/1,393.50
6. Step 6: Final answer
   x = 1,066.08