Finding the Fourth Proportional to 1,401, 1,933.50 and 780.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,401 : 1,933.50 = 780.12 : x
2. Step 2: Convert to fraction form
   1,401/1,933.50 = 780.12/x
3. Step 3: Cross multiply
   1,401x = 1,933.50 × 780.12
4. Step 4: Simplify right side
   1,401x = 1,508,362.02
5. Step 5: Solve for x
   x = 1,508,362.02/1,401
6. Step 6: Final answer
   x = 1,076.63