Finding the Fourth Proportional to 1,046.34, 1,566.72 and 864.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,046.34 : 1,566.72 = 864.54 : x
2. Step 2: Convert to fraction form
   1,046.34/1,566.72 = 864.54/x
3. Step 3: Cross multiply
   1,046.34x = 1,566.72 × 864.54
4. Step 4: Simplify right side
   1,046.34x = 1,354,492.11
5. Step 5: Solve for x
   x = 1,354,492.11/1,046.34
6. Step 6: Final answer
   x = 1,294.50