Finding the Fourth Proportional to 6,538.83, 9,809.42 and 2,384.67

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538.83 : 9,809.42 = 2,384.67 : x
2. Step 2: Convert to fraction form
   6,538.83/9,809.42 = 2,384.67/x
3. Step 3: Cross multiply
   6,538.83x = 9,809.42 × 2,384.67
4. Step 4: Simplify right side
   6,538.83x = 23,392,229.59
5. Step 5: Solve for x
   x = 23,392,229.59/6,538.83
6. Step 6: Final answer
   x = 3,577.43