Finding the Fourth Proportional to 1,364.69, 1,883.10 and 775.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.69 : 1,883.10 = 775.10 : x
2. Step 2: Convert to fraction form
   1,364.69/1,883.10 = 775.10/x
3. Step 3: Cross multiply
   1,364.69x = 1,883.10 × 775.10
4. Step 4: Simplify right side
   1,364.69x = 1,459,590.81
5. Step 5: Solve for x
   x = 1,459,590.81/1,364.69
6. Step 6: Final answer
   x = 1,069.54