Finding the Fourth Proportional to 1,354.12, 1,868.56 and 764.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.12 : 1,868.56 = 764.64 : x
2. Step 2: Convert to fraction form
   1,354.12/1,868.56 = 764.64/x
3. Step 3: Cross multiply
   1,354.12x = 1,868.56 × 764.64
4. Step 4: Simplify right side
   1,354.12x = 1,428,775.72
5. Step 5: Solve for x
   x = 1,428,775.72/1,354.12
6. Step 6: Final answer
   x = 1,055.13