Finding the Fourth Proportional to 1,353.47, 1,867.80 and 764.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,353.47 : 1,867.80 = 764.01 : x
2. Step 2: Convert to fraction form
   1,353.47/1,867.80 = 764.01/x
3. Step 3: Cross multiply
   1,353.47x = 1,867.80 × 764.01
4. Step 4: Simplify right side
   1,353.47x = 1,427,017.88
5. Step 5: Solve for x
   x = 1,427,017.88/1,353.47
6. Step 6: Final answer
   x = 1,054.34