Finding the Fourth Proportional to 1,105.10, 1,655.82 and 779.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.10 : 1,655.82 = 779.78 : x
2. Step 2: Convert to fraction form
   1,105.10/1,655.82 = 779.78/x
3. Step 3: Cross multiply
   1,105.10x = 1,655.82 × 779.78
4. Step 4: Simplify right side
   1,105.10x = 1,291,175.32
5. Step 5: Solve for x
   x = 1,291,175.32/1,105.10
6. Step 6: Final answer
   x = 1,168.38