Finding the Fourth Proportional to 5,663.83, 7,815.82 and 3,146.10

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.83 : 7,815.82 = 3,146.10 : x
2. Step 2: Convert to fraction form
   5,663.83/7,815.82 = 3,146.10/x
3. Step 3: Cross multiply
   5,663.83x = 7,815.82 × 3,146.10
4. Step 4: Simplify right side
   5,663.83x = 24,589,343.44
5. Step 5: Solve for x
   x = 24,589,343.44/5,663.83
6. Step 6: Final answer
   x = 4,341.47