Finding the Fourth Proportional to 1,353.48, 1,867.72 and 764.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.48 : 1,867.72 = 764.20 : x
2. Step 2: Convert to fraction form
   1,353.48/1,867.72 = 764.20/x
3. Step 3: Cross multiply
   1,353.48x = 1,867.72 × 764.20
4. Step 4: Simplify right side
   1,353.48x = 1,427,311.62
5. Step 5: Solve for x
   x = 1,427,311.62/1,353.48
6. Step 6: Final answer
   x = 1,054.55