Finding the Fourth Proportional to 1,014.34, 1,522.18 and 466.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,014.34 : 1,522.18 = 466.50 : x
2. Step 2: Convert to fraction form
   1,014.34/1,522.18 = 466.50/x
3. Step 3: Cross multiply
   1,014.34x = 1,522.18 × 466.50
4. Step 4: Simplify right side
   1,014.34x = 710,096.97
5. Step 5: Solve for x
   x = 710,096.97/1,014.34
6. Step 6: Final answer
   x = 700.06