Finding the Fourth Proportional to 9,829.77, 13,565.25 and 5,353.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,829.77 : 13,565.25 = 5,353.61 : x
2. Step 2: Convert to fraction form
   9,829.77/13,565.25 = 5,353.61/x
3. Step 3: Cross multiply
   9,829.77x = 13,565.25 × 5,353.61
4. Step 4: Simplify right side
   9,829.77x = 72,623,051.47
5. Step 5: Solve for x
   x = 72,623,051.47/9,829.77
6. Step 6: Final answer
   x = 7,388.07