Finding the Fourth Proportional to 1,322.56, 1,824.86 and 763.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.56 : 1,824.86 = 763.02 : x
2. Step 2: Convert to fraction form
   1,322.56/1,824.86 = 763.02/x
3. Step 3: Cross multiply
   1,322.56x = 1,824.86 × 763.02
4. Step 4: Simplify right side
   1,322.56x = 1,392,404.68
5. Step 5: Solve for x
   x = 1,392,404.68/1,322.56
6. Step 6: Final answer
   x = 1,052.81