Finding the Fourth Proportional to 1,401.89, 1,934.64 and 772.45

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401.89 : 1,934.64 = 772.45 : x
2. Step 2: Convert to fraction form
   1,401.89/1,934.64 = 772.45/x
3. Step 3: Cross multiply
   1,401.89x = 1,934.64 × 772.45
4. Step 4: Simplify right side
   1,401.89x = 1,494,407.83
5. Step 5: Solve for x
   x = 1,494,407.83/1,401.89
6. Step 6: Final answer
   x = 1,066.00