Finding the Fourth Proportional to 1,200.24, 1,654.83 and 779.99

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.24 : 1,654.83 = 779.99 : x
2. Step 2: Convert to fraction form
   1,200.24/1,654.83 = 779.99/x
3. Step 3: Cross multiply
   1,200.24x = 1,654.83 × 779.99
4. Step 4: Simplify right side
   1,200.24x = 1,290,742.58
5. Step 5: Solve for x
   x = 1,290,742.58/1,200.24
6. Step 6: Final answer
   x = 1,075.40