Finding the Fourth Proportional to 2,099.48, 3,146.78 and 1,856.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,099.48 : 3,146.78 = 1,856.48 : x
2. Step 2: Convert to fraction form
   2,099.48/3,146.78 = 1,856.48/x
3. Step 3: Cross multiply
   2,099.48x = 3,146.78 × 1,856.48
4. Step 4: Simplify right side
   2,099.48x = 5,841,934.13
5. Step 5: Solve for x
   x = 5,841,934.13/2,099.48
6. Step 6: Final answer
   x = 2,782.56