Finding the Fourth Proportional to 5,101.82, 7,649.30 and 1,813.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,101.82 : 7,649.30 = 1,813.10 : x
2. Step 2: Convert to fraction form
   5,101.82/7,649.30 = 1,813.10/x
3. Step 3: Cross multiply
   5,101.82x = 7,649.30 × 1,813.10
4. Step 4: Simplify right side
   5,101.82x = 13,868,945.83
5. Step 5: Solve for x
   x = 13,868,945.83/5,101.82
6. Step 6: Final answer
   x = 2,718.43