Finding the Fourth Proportional to 1,105.68, 1,656.66 and 779.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.68 : 1,656.66 = 779.46 : x
2. Step 2: Convert to fraction form
   1,105.68/1,656.66 = 779.46/x
3. Step 3: Cross multiply
   1,105.68x = 1,656.66 × 779.46
4. Step 4: Simplify right side
   1,105.68x = 1,291,300.20
5. Step 5: Solve for x
   x = 1,291,300.20/1,105.68
6. Step 6: Final answer
   x = 1,167.88