Finding the Fourth Proportional to 1,554.32, 2,330.78 and 823.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,554.32 : 2,330.78 = 823.72 : x
2. Step 2: Convert to fraction form
   1,554.32/2,330.78 = 823.72/x
3. Step 3: Cross multiply
   1,554.32x = 2,330.78 × 823.72
4. Step 4: Simplify right side
   1,554.32x = 1,919,910.10
5. Step 5: Solve for x
   x = 1,919,910.10/1,554.32
6. Step 6: Final answer
   x = 1,235.21