Finding the Fourth Proportional to 1,002.72, 1,496.64 and 840.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.72 : 1,496.64 = 840.96 : x
2. Step 2: Convert to fraction form
   1,002.72/1,496.64 = 840.96/x
3. Step 3: Cross multiply
   1,002.72x = 1,496.64 × 840.96
4. Step 4: Simplify right side
   1,002.72x = 1,258,614.37
5. Step 5: Solve for x
   x = 1,258,614.37/1,002.72
6. Step 6: Final answer
   x = 1,255.20