Finding the Fourth Proportional to 9,353.74, 12,909.84 and 5,577.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,353.74 : 12,909.84 = 5,577.15 : x
2. Step 2: Convert to fraction form
   9,353.74/12,909.84 = 5,577.15/x
3. Step 3: Cross multiply
   9,353.74x = 12,909.84 × 5,577.15
4. Step 4: Simplify right side
   9,353.74x = 72,000,100.21
5. Step 5: Solve for x
   x = 72,000,100.21/9,353.74
6. Step 6: Final answer
   x = 7,697.46