Finding the Fourth Proportional to 7,258.38, 10,005.83 and 5,663.22

Step by Step Solution

1. Step 1: Write the proportion equation
   7,258.38 : 10,005.83 = 5,663.22 : x
2. Step 2: Convert to fraction form
   7,258.38/10,005.83 = 5,663.22/x
3. Step 3: Cross multiply
   7,258.38x = 10,005.83 × 5,663.22
4. Step 4: Simplify right side
   7,258.38x = 56,665,188.26
5. Step 5: Solve for x
   x = 56,665,188.26/7,258.38
6. Step 6: Final answer
   x = 7,806.86