Finding the Fourth Proportional to 1,196.74, 1,650.87 and 776.53

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.74 : 1,650.87 = 776.53 : x
2. Step 2: Convert to fraction form
   1,196.74/1,650.87 = 776.53/x
3. Step 3: Cross multiply
   1,196.74x = 1,650.87 × 776.53
4. Step 4: Simplify right side
   1,196.74x = 1,281,950.08
5. Step 5: Solve for x
   x = 1,281,950.08/1,196.74
6. Step 6: Final answer
   x = 1,071.20