Finding the Fourth Proportional to 9,830.16, 13,565.32 and 5,353.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.16 : 13,565.32 = 5,353.84 : x
2. Step 2: Convert to fraction form
   9,830.16/13,565.32 = 5,353.84/x
3. Step 3: Cross multiply
   9,830.16x = 13,565.32 × 5,353.84
4. Step 4: Simplify right side
   9,830.16x = 72,626,552.83
5. Step 5: Solve for x
   x = 72,626,552.83/9,830.16
6. Step 6: Final answer
   x = 7,388.14