Finding the Fourth Proportional to 1,823.09, 2,516.72 and 1,193.64

Step by Step Solution

1. Step 1: Write the proportion equation
   1,823.09 : 2,516.72 = 1,193.64 : x
2. Step 2: Convert to fraction form
   1,823.09/2,516.72 = 1,193.64/x
3. Step 3: Cross multiply
   1,823.09x = 2,516.72 × 1,193.64
4. Step 4: Simplify right side
   1,823.09x = 3,004,051.69
5. Step 5: Solve for x
   x = 3,004,051.69/1,823.09
6. Step 6: Final answer
   x = 1,647.78