Finding the Fourth Proportional to 1,354.14, 1,868.56 and 764.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.14 : 1,868.56 = 764.60 : x
2. Step 2: Convert to fraction form
   1,354.14/1,868.56 = 764.60/x
3. Step 3: Cross multiply
   1,354.14x = 1,868.56 × 764.60
4. Step 4: Simplify right side
   1,354.14x = 1,428,700.98
5. Step 5: Solve for x
   x = 1,428,700.98/1,354.14
6. Step 6: Final answer
   x = 1,055.06