Finding the Fourth Proportional to 1,364.50, 1,882.86 and 775.04

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.50 : 1,882.86 = 775.04 : x
2. Step 2: Convert to fraction form
   1,364.50/1,882.86 = 775.04/x
3. Step 3: Cross multiply
   1,364.50x = 1,882.86 × 775.04
4. Step 4: Simplify right side
   1,364.50x = 1,459,291.81
5. Step 5: Solve for x
   x = 1,459,291.81/1,364.50
6. Step 6: Final answer
   x = 1,069.47