Finding the Fourth Proportional to 1,354.14, 1,868.71 and 764.67

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.14 : 1,868.71 = 764.67 : x
2. Step 2: Convert to fraction form
   1,354.14/1,868.71 = 764.67/x
3. Step 3: Cross multiply
   1,354.14x = 1,868.71 × 764.67
4. Step 4: Simplify right side
   1,354.14x = 1,428,946.48
5. Step 5: Solve for x
   x = 1,428,946.48/1,354.14
6. Step 6: Final answer
   x = 1,055.24