Finding the Fourth Proportional to 1,105.28, 1,656.10 and 779.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.28 : 1,656.10 = 779.98 : x
2. Step 2: Convert to fraction form
   1,105.28/1,656.10 = 779.98/x
3. Step 3: Cross multiply
   1,105.28x = 1,656.10 × 779.98
4. Step 4: Simplify right side
   1,105.28x = 1,291,724.88
5. Step 5: Solve for x
   x = 1,291,724.88/1,105.28
6. Step 6: Final answer
   x = 1,168.69