Finding the Fourth Proportional to 1,504.88, 2,256.81 and 764.21

Step by Step Solution

1. Step 1: Write the proportion equation
   1,504.88 : 2,256.81 = 764.21 : x
2. Step 2: Convert to fraction form
   1,504.88/2,256.81 = 764.21/x
3. Step 3: Cross multiply
   1,504.88x = 2,256.81 × 764.21
4. Step 4: Simplify right side
   1,504.88x = 1,724,667.31
5. Step 5: Solve for x
   x = 1,724,667.31/1,504.88
6. Step 6: Final answer
   x = 1,146.05