Finding the Fourth Proportional to 1,465.24, 2,022.74 and 942.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.24 : 2,022.74 = 942.16 : x
2. Step 2: Convert to fraction form
   1,465.24/2,022.74 = 942.16/x
3. Step 3: Cross multiply
   1,465.24x = 2,022.74 × 942.16
4. Step 4: Simplify right side
   1,465.24x = 1,905,744.72
5. Step 5: Solve for x
   x = 1,905,744.72/1,465.24
6. Step 6: Final answer
   x = 1,300.64