Finding the Fourth Proportional to 2,096.49, 3,146.01 and 781.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,096.49 : 3,146.01 = 781.20 : x
2. Step 2: Convert to fraction form
   2,096.49/3,146.01 = 781.20/x
3. Step 3: Cross multiply
   2,096.49x = 3,146.01 × 781.20
4. Step 4: Simplify right side
   2,096.49x = 2,457,663.01
5. Step 5: Solve for x
   x = 2,457,663.01/2,096.49
6. Step 6: Final answer
   x = 1,172.28