Finding the Fourth Proportional to 9,830.06, 13,565.84 and 5,353.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.06 : 13,565.84 = 5,353.90 : x
2. Step 2: Convert to fraction form
   9,830.06/13,565.84 = 5,353.90/x
3. Step 3: Cross multiply
   9,830.06x = 13,565.84 × 5,353.90
4. Step 4: Simplify right side
   9,830.06x = 72,630,150.78
5. Step 5: Solve for x
   x = 72,630,150.78/9,830.06
6. Step 6: Final answer
   x = 7,388.58