Finding the Fourth Proportional to 1,322.35, 1,825.01 and 762.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.35 : 1,825.01 = 762.82 : x
2. Step 2: Convert to fraction form
   1,322.35/1,825.01 = 762.82/x
3. Step 3: Cross multiply
   1,322.35x = 1,825.01 × 762.82
4. Step 4: Simplify right side
   1,322.35x = 1,392,158.88
5. Step 5: Solve for x
   x = 1,392,158.88/1,322.35
6. Step 6: Final answer
   x = 1,052.79