Finding the Fourth Proportional to 1,401.99, 1,934.73 and 772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.99 : 1,934.73 = 772.50 : x
2. Step 2: Convert to fraction form
   1,401.99/1,934.73 = 772.50/x
3. Step 3: Cross multiply
   1,401.99x = 1,934.73 × 772.50
4. Step 4: Simplify right side
   1,401.99x = 1,494,578.93
5. Step 5: Solve for x
   x = 1,494,578.93/1,401.99
6. Step 6: Final answer
   x = 1,066.04