Finding the Fourth Proportional to 1,322.30, 1,824.89 and 762.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.30 : 1,824.89 = 762.79 : x
2. Step 2: Convert to fraction form
   1,322.30/1,824.89 = 762.79/x
3. Step 3: Cross multiply
   1,322.30x = 1,824.89 × 762.79
4. Step 4: Simplify right side
   1,322.30x = 1,392,006.31
5. Step 5: Solve for x
   x = 1,392,006.31/1,322.30
6. Step 6: Final answer
   x = 1,052.72