Finding the Fourth Proportional to 2,256.58, 3,384.00 and 775.52

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.58 : 3,384.00 = 775.52 : x
2. Step 2: Convert to fraction form
   2,256.58/3,384.00 = 775.52/x
3. Step 3: Cross multiply
   2,256.58x = 3,384.00 × 775.52
4. Step 4: Simplify right side
   2,256.58x = 2,624,355.80
5. Step 5: Solve for x
   x = 2,624,355.80/2,256.58
6. Step 6: Final answer
   x = 1,162.98