Finding the Fourth Proportional to 1,401.54, 1,934.04 and 772.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.54 : 1,934.04 = 772.02 : x
2. Step 2: Convert to fraction form
   1,401.54/1,934.04 = 772.02/x
3. Step 3: Cross multiply
   1,401.54x = 1,934.04 × 772.02
4. Step 4: Simplify right side
   1,401.54x = 1,493,117.56
5. Step 5: Solve for x
   x = 1,493,117.56/1,401.54
6. Step 6: Final answer
   x = 1,065.34