Finding the Fourth Proportional to 1,466.34, 2,199.78 and 492.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,466.34 : 2,199.78 = 492.72 : x
2. Step 2: Convert to fraction form
   1,466.34/2,199.78 = 492.72/x
3. Step 3: Cross multiply
   1,466.34x = 2,199.78 × 492.72
4. Step 4: Simplify right side
   1,466.34x = 1,083,875.60
5. Step 5: Solve for x
   x = 1,083,875.60/1,466.34
6. Step 6: Final answer
   x = 739.17