Finding the Fourth Proportional to 1,301.86, 1,796.60 and 778.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,301.86 : 1,796.60 = 778.19 : x
2. Step 2: Convert to fraction form
   1,301.86/1,796.60 = 778.19/x
3. Step 3: Cross multiply
   1,301.86x = 1,796.60 × 778.19
4. Step 4: Simplify right side
   1,301.86x = 1,398,096.15
5. Step 5: Solve for x
   x = 1,398,096.15/1,301.86
6. Step 6: Final answer
   x = 1,073.92