Finding the Fourth Proportional to 796.86, 1,188.63 and 784.71

Step by Step Solution

1. Step 1: Write the proportion equation
   796.86 : 1,188.63 = 784.71 : x
2. Step 2: Convert to fraction form
   796.86/1,188.63 = 784.71/x
3. Step 3: Cross multiply
   796.86x = 1,188.63 × 784.71
4. Step 4: Simplify right side
   796.86x = 932,729.85
5. Step 5: Solve for x
   x = 932,729.85/796.86
6. Step 6: Final answer
   x = 1,170.51