Finding the Fourth Proportional to 1,353.42, 1,867.71 and 764.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.42 : 1,867.71 = 764.07 : x
2. Step 2: Convert to fraction form
   1,353.42/1,867.71 = 764.07/x
3. Step 3: Cross multiply
   1,353.42x = 1,867.71 × 764.07
4. Step 4: Simplify right side
   1,353.42x = 1,427,061.18
5. Step 5: Solve for x
   x = 1,427,061.18/1,353.42
6. Step 6: Final answer
   x = 1,054.41