Finding the Fourth Proportional to 1,353.50, 1,867.82 and 764.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.50 : 1,867.82 = 764.02 : x
2. Step 2: Convert to fraction form
   1,353.50/1,867.82 = 764.02/x
3. Step 3: Cross multiply
   1,353.50x = 1,867.82 × 764.02
4. Step 4: Simplify right side
   1,353.50x = 1,427,051.84
5. Step 5: Solve for x
   x = 1,427,051.84/1,353.50
6. Step 6: Final answer
   x = 1,054.34