Finding the Fourth Proportional to 1,196.61, 1,650.66 and 776.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.61 : 1,650.66 = 776.37 : x
2. Step 2: Convert to fraction form
   1,196.61/1,650.66 = 776.37/x
3. Step 3: Cross multiply
   1,196.61x = 1,650.66 × 776.37
4. Step 4: Simplify right side
   1,196.61x = 1,281,522.90
5. Step 5: Solve for x
   x = 1,281,522.90/1,196.61
6. Step 6: Final answer
   x = 1,070.96