Finding the Fourth Proportional to 2,132.64, 3,196.80 and 976.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132.64 : 3,196.80 = 976.32 : x
2. Step 2: Convert to fraction form
   2,132.64/3,196.80 = 976.32/x
3. Step 3: Cross multiply
   2,132.64x = 3,196.80 × 976.32
4. Step 4: Simplify right side
   2,132.64x = 3,121,099.78
5. Step 5: Solve for x
   x = 3,121,099.78/2,132.64
6. Step 6: Final answer
   x = 1,463.49