Finding the Fourth Proportional to 5,486.76, 7,569.12 and 3,994

Step by Step Solution

1. Step 1: Write the proportion equation
   5,486.76 : 7,569.12 = 3,994 : x
2. Step 2: Convert to fraction form
   5,486.76/7,569.12 = 3,994/x
3. Step 3: Cross multiply
   5,486.76x = 7,569.12 × 3,994
4. Step 4: Simplify right side
   5,486.76x = 30,231,065.28
5. Step 5: Solve for x
   x = 30,231,065.28/5,486.76
6. Step 6: Final answer
   x = 5,509.82