Finding the Fourth Proportional to 1,196.79, 1,651.95 and 776.40

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.79 : 1,651.95 = 776.40 : x
2. Step 2: Convert to fraction form
   1,196.79/1,651.95 = 776.40/x
3. Step 3: Cross multiply
   1,196.79x = 1,651.95 × 776.40
4. Step 4: Simplify right side
   1,196.79x = 1,282,565.72
5. Step 5: Solve for x
   x = 1,282,565.72/1,196.79
6. Step 6: Final answer
   x = 1,071.68