Finding the Fourth Proportional to 1,322.86, 1,825.74 and 763.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,322.86 : 1,825.74 = 763.42 : x
2. Step 2: Convert to fraction form
   1,322.86/1,825.74 = 763.42/x
3. Step 3: Cross multiply
   1,322.86x = 1,825.74 × 763.42
4. Step 4: Simplify right side
   1,322.86x = 1,393,806.43
5. Step 5: Solve for x
   x = 1,393,806.43/1,322.86
6. Step 6: Final answer
   x = 1,053.63