Finding the Fourth Proportional to 2,099.14, 2,896.70 and 1,154.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.14 : 2,896.70 = 1,154.78 : x
2. Step 2: Convert to fraction form
   2,099.14/2,896.70 = 1,154.78/x
3. Step 3: Cross multiply
   2,099.14x = 2,896.70 × 1,154.78
4. Step 4: Simplify right side
   2,099.14x = 3,345,061.35
5. Step 5: Solve for x
   x = 3,345,061.35/2,099.14
6. Step 6: Final answer
   x = 1,593.54