Finding the Fourth Proportional to 2,134.17, 3,200.13 and 964.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,134.17 : 3,200.13 = 964.53 : x
2. Step 2: Convert to fraction form
   2,134.17/3,200.13 = 964.53/x
3. Step 3: Cross multiply
   2,134.17x = 3,200.13 × 964.53
4. Step 4: Simplify right side
   2,134.17x = 3,086,621.39
5. Step 5: Solve for x
   x = 3,086,621.39/2,134.17
6. Step 6: Final answer
   x = 1,446.29