Finding the Fourth Proportional to 5,663.84, 8,501.52 and 3,809.12

Step by Step Solution

1. Step 1: Write the proportion equation
   5,663.84 : 8,501.52 = 3,809.12 : x
2. Step 2: Convert to fraction form
   5,663.84/8,501.52 = 3,809.12/x
3. Step 3: Cross multiply
   5,663.84x = 8,501.52 × 3,809.12
4. Step 4: Simplify right side
   5,663.84x = 32,383,309.86
5. Step 5: Solve for x
   x = 32,383,309.86/5,663.84
6. Step 6: Final answer
   x = 5,717.55