Finding the Fourth Proportional to 5,663.32, 7,806.30 and 3,845.77

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.32 : 7,806.30 = 3,845.77 : x
2. Step 2: Convert to fraction form
   5,663.32/7,806.30 = 3,845.77/x
3. Step 3: Cross multiply
   5,663.32x = 7,806.30 × 3,845.77
4. Step 4: Simplify right side
   5,663.32x = 30,021,249.20
5. Step 5: Solve for x
   x = 30,021,249.20/5,663.32
6. Step 6: Final answer
   x = 5,301.00