Finding the Fourth Proportional to 9,809.63, 14,709.82 and 3,565.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,809.63 : 14,709.82 = 3,565.25 : x
2. Step 2: Convert to fraction form
   9,809.63/14,709.82 = 3,565.25/x
3. Step 3: Cross multiply
   9,809.63x = 14,709.82 × 3,565.25
4. Step 4: Simplify right side
   9,809.63x = 52,444,185.76
5. Step 5: Solve for x
   x = 52,444,185.76/9,809.63
6. Step 6: Final answer
   x = 5,346.19