Finding the Fourth Proportional to 1,353.88, 1,868.50 and 764.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.88 : 1,868.50 = 764.30 : x
2. Step 2: Convert to fraction form
   1,353.88/1,868.50 = 764.30/x
3. Step 3: Cross multiply
   1,353.88x = 1,868.50 × 764.30
4. Step 4: Simplify right side
   1,353.88x = 1,428,094.55
5. Step 5: Solve for x
   x = 1,428,094.55/1,353.88
6. Step 6: Final answer
   x = 1,054.82