Finding the Fourth Proportional to 9,419.89, 12,994.54 and 5,589.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,419.89 : 12,994.54 = 5,589.30 : x
2. Step 2: Convert to fraction form
   9,419.89/12,994.54 = 5,589.30/x
3. Step 3: Cross multiply
   9,419.89x = 12,994.54 × 5,589.30
4. Step 4: Simplify right side
   9,419.89x = 72,630,354.48
5. Step 5: Solve for x
   x = 72,630,354.48/9,419.89
6. Step 6: Final answer
   x = 7,710.32