Finding the Fourth Proportional to 9,354.15, 12,910.40 and 5,577.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,354.15 : 12,910.40 = 5,577.54 : x
2. Step 2: Convert to fraction form
   9,354.15/12,910.40 = 5,577.54/x
3. Step 3: Cross multiply
   9,354.15x = 12,910.40 × 5,577.54
4. Step 4: Simplify right side
   9,354.15x = 72,008,244.53
5. Step 5: Solve for x
   x = 72,008,244.53/9,354.15
6. Step 6: Final answer
   x = 7,698.00