Finding the Fourth Proportional to 2,096.50, 3,142.68 and 1,172.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.50 : 3,142.68 = 1,172.50 : x
2. Step 2: Convert to fraction form
   2,096.50/3,142.68 = 1,172.50/x
3. Step 3: Cross multiply
   2,096.50x = 3,142.68 × 1,172.50
4. Step 4: Simplify right side
   2,096.50x = 3,684,792.30
5. Step 5: Solve for x
   x = 3,684,792.30/2,096.50
6. Step 6: Final answer
   x = 1,757.59