Finding the Fourth Proportional to 1,364.65, 1,883.05 and 775.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,364.65 : 1,883.05 = 775.10 : x
2. Step 2: Convert to fraction form
   1,364.65/1,883.05 = 775.10/x
3. Step 3: Cross multiply
   1,364.65x = 1,883.05 × 775.10
4. Step 4: Simplify right side
   1,364.65x = 1,459,554.82
5. Step 5: Solve for x
   x = 1,459,554.82/1,364.65
6. Step 6: Final answer
   x = 1,069.55