Finding the Fourth Proportional to 9,565.04, 13,199.88 and 5,788.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,565.04 : 13,199.88 = 5,788.16 : x
2. Step 2: Convert to fraction form
   9,565.04/13,199.88 = 5,788.16/x
3. Step 3: Cross multiply
   9,565.04x = 13,199.88 × 5,788.16
4. Step 4: Simplify right side
   9,565.04x = 76,403,017.42
5. Step 5: Solve for x
   x = 76,403,017.42/9,565.04
6. Step 6: Final answer
   x = 7,987.74