Finding the Fourth Proportional to 1,196.88, 1,796.13 and 580.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.88 : 1,796.13 = 580.86 : x
2. Step 2: Convert to fraction form
   1,196.88/1,796.13 = 580.86/x
3. Step 3: Cross multiply
   1,196.88x = 1,796.13 × 580.86
4. Step 4: Simplify right side
   1,196.88x = 1,043,300.07
5. Step 5: Solve for x
   x = 1,043,300.07/1,196.88
6. Step 6: Final answer
   x = 871.68