Finding the Fourth Proportional to 2,523.36, 3,784.50 and 962.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,523.36 : 3,784.50 = 962.82 : x
2. Step 2: Convert to fraction form
   2,523.36/3,784.50 = 962.82/x
3. Step 3: Cross multiply
   2,523.36x = 3,784.50 × 962.82
4. Step 4: Simplify right side
   2,523.36x = 3,643,792.29
5. Step 5: Solve for x
   x = 3,643,792.29/2,523.36
6. Step 6: Final answer
   x = 1,444.02