Finding the Fourth Proportional to 1,354.06, 1,868.56 and 764.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.06 : 1,868.56 = 764.65 : x
2. Step 2: Convert to fraction form
   1,354.06/1,868.56 = 764.65/x
3. Step 3: Cross multiply
   1,354.06x = 1,868.56 × 764.65
4. Step 4: Simplify right side
   1,354.06x = 1,428,794.40
5. Step 5: Solve for x
   x = 1,428,794.40/1,354.06
6. Step 6: Final answer
   x = 1,055.19