Finding the Fourth Proportional to 1,822.60, 2,513.86 and 1,192.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,822.60 : 2,513.86 = 1,192.12 : x
2. Step 2: Convert to fraction form
   1,822.60/2,513.86 = 1,192.12/x
3. Step 3: Cross multiply
   1,822.60x = 2,513.86 × 1,192.12
4. Step 4: Simplify right side
   1,822.60x = 2,996,822.78
5. Step 5: Solve for x
   x = 2,996,822.78/1,822.60
6. Step 6: Final answer
   x = 1,644.26