Finding the Fourth Proportional to 1,400.50, 1,932.69 and 779.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,400.50 : 1,932.69 = 779.50 : x
2. Step 2: Convert to fraction form
   1,400.50/1,932.69 = 779.50/x
3. Step 3: Cross multiply
   1,400.50x = 1,932.69 × 779.50
4. Step 4: Simplify right side
   1,400.50x = 1,506,531.86
5. Step 5: Solve for x
   x = 1,506,531.86/1,400.50
6. Step 6: Final answer
   x = 1,075.71