Finding the Fourth Proportional to 1,196.62, 1,796.58 and 871.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,196.62 : 1,796.58 = 871.84 : x
2. Step 2: Convert to fraction form
   1,196.62/1,796.58 = 871.84/x
3. Step 3: Cross multiply
   1,196.62x = 1,796.58 × 871.84
4. Step 4: Simplify right side
   1,196.62x = 1,566,330.31
5. Step 5: Solve for x
   x = 1,566,330.31/1,196.62
6. Step 6: Final answer
   x = 1,308.96