Finding the Fourth Proportional to 1,322.52, 1,825.24 and 762.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.52 : 1,825.24 = 762.86 : x
2. Step 2: Convert to fraction form
   1,322.52/1,825.24 = 762.86/x
3. Step 3: Cross multiply
   1,322.52x = 1,825.24 × 762.86
4. Step 4: Simplify right side
   1,322.52x = 1,392,402.59
5. Step 5: Solve for x
   x = 1,392,402.59/1,322.52
6. Step 6: Final answer
   x = 1,052.84