Finding the Fourth Proportional to 1,364.43, 1,882.86 and 775.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.43 : 1,882.86 = 775.02 : x
2. Step 2: Convert to fraction form
   1,364.43/1,882.86 = 775.02/x
3. Step 3: Cross multiply
   1,364.43x = 1,882.86 × 775.02
4. Step 4: Simplify right side
   1,364.43x = 1,459,262.67
5. Step 5: Solve for x
   x = 1,459,262.67/1,364.43
6. Step 6: Final answer
   x = 1,069.50