Finding the Fourth Proportional to 1,465.76, 2,023.12 and 942.24

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.76 : 2,023.12 = 942.24 : x
2. Step 2: Convert to fraction form
   1,465.76/2,023.12 = 942.24/x
3. Step 3: Cross multiply
   1,465.76x = 2,023.12 × 942.24
4. Step 4: Simplify right side
   1,465.76x = 1,906,264.59
5. Step 5: Solve for x
   x = 1,906,264.59/1,465.76
6. Step 6: Final answer
   x = 1,300.53