Finding the Fourth Proportional to 2,134.96, 3,200.16 and 964.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,134.96 : 3,200.16 = 964.84 : x
2. Step 2: Convert to fraction form
   2,134.96/3,200.16 = 964.84/x
3. Step 3: Cross multiply
   2,134.96x = 3,200.16 × 964.84
4. Step 4: Simplify right side
   2,134.96x = 3,087,642.37
5. Step 5: Solve for x
   x = 3,087,642.37/2,134.96
6. Step 6: Final answer
   x = 1,446.23