Finding the Fourth Proportional to 1,782.27, 2,460.22 and 1,192.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,782.27 : 2,460.22 = 1,192.59 : x
2. Step 2: Convert to fraction form
   1,782.27/2,460.22 = 1,192.59/x
3. Step 3: Cross multiply
   1,782.27x = 2,460.22 × 1,192.59
4. Step 4: Simplify right side
   1,782.27x = 2,934,021.47
5. Step 5: Solve for x
   x = 2,934,021.47/1,782.27
6. Step 6: Final answer
   x = 1,646.23