Finding the Fourth Proportional to 1,354.61, 1,868.03 and 823.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,354.61 : 1,868.03 = 823.57 : x
2. Step 2: Convert to fraction form
   1,354.61/1,868.03 = 823.57/x
3. Step 3: Cross multiply
   1,354.61x = 1,868.03 × 823.57
4. Step 4: Simplify right side
   1,354.61x = 1,538,450.86
5. Step 5: Solve for x
   x = 1,538,450.86/1,354.61
6. Step 6: Final answer
   x = 1,135.71