Finding the Fourth Proportional to 1,821.42, 2,513.59 and 1,193.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,821.42 : 2,513.59 = 1,193.02 : x
2. Step 2: Convert to fraction form
   1,821.42/2,513.59 = 1,193.02/x
3. Step 3: Cross multiply
   1,821.42x = 2,513.59 × 1,193.02
4. Step 4: Simplify right side
   1,821.42x = 2,998,753.88
5. Step 5: Solve for x
   x = 2,998,753.88/1,821.42
6. Step 6: Final answer
   x = 1,646.38