Finding the Fourth Proportional to 1,401.40, 1,934.06 and 772.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.40 : 1,934.06 = 772.05 : x
2. Step 2: Convert to fraction form
   1,401.40/1,934.06 = 772.05/x
3. Step 3: Cross multiply
   1,401.40x = 1,934.06 × 772.05
4. Step 4: Simplify right side
   1,401.40x = 1,493,191.02
5. Step 5: Solve for x
   x = 1,493,191.02/1,401.40
6. Step 6: Final answer
   x = 1,065.50