Finding the Fourth Proportional to 1,196.80, 1,792.86 and 784.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.80 : 1,792.86 = 784.68 : x
2. Step 2: Convert to fraction form
   1,196.80/1,792.86 = 784.68/x
3. Step 3: Cross multiply
   1,196.80x = 1,792.86 × 784.68
4. Step 4: Simplify right side
   1,196.80x = 1,406,822.86
5. Step 5: Solve for x
   x = 1,406,822.86/1,196.80
6. Step 6: Final answer
   x = 1,175.49