Finding the Fourth Proportional to 1,353.78, 1,868.01 and 764.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.78 : 1,868.01 = 764.31 : x
2. Step 2: Convert to fraction form
   1,353.78/1,868.01 = 764.31/x
3. Step 3: Cross multiply
   1,353.78x = 1,868.01 × 764.31
4. Step 4: Simplify right side
   1,353.78x = 1,427,738.72
5. Step 5: Solve for x
   x = 1,427,738.72/1,353.78
6. Step 6: Final answer
   x = 1,054.63