Finding the Fourth Proportional to 1,782.38, 2,457.38 and 1,462.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.38 : 2,457.38 = 1,462.16 : x
2. Step 2: Convert to fraction form
   1,782.38/2,457.38 = 1,462.16/x
3. Step 3: Cross multiply
   1,782.38x = 2,457.38 × 1,462.16
4. Step 4: Simplify right side
   1,782.38x = 3,593,092.54
5. Step 5: Solve for x
   x = 3,593,092.54/1,782.38
6. Step 6: Final answer
   x = 2,015.89