Finding the Fourth Proportional to 1,196.15, 1,649.60 and 776.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.15 : 1,649.60 = 776.09 : x
2. Step 2: Convert to fraction form
   1,196.15/1,649.60 = 776.09/x
3. Step 3: Cross multiply
   1,196.15x = 1,649.60 × 776.09
4. Step 4: Simplify right side
   1,196.15x = 1,280,225.94
5. Step 5: Solve for x
   x = 1,280,225.94/1,196.15
6. Step 6: Final answer
   x = 1,070.29