Finding the Fourth Proportional to 7,577.83, 10,456.69 and 5,589.48

Step by Step Solution

1. Step 1: Write the proportion equation
   7,577.83 : 10,456.69 = 5,589.48 : x
2. Step 2: Convert to fraction form
   7,577.83/10,456.69 = 5,589.48/x
3. Step 3: Cross multiply
   7,577.83x = 10,456.69 × 5,589.48
4. Step 4: Simplify right side
   7,577.83x = 58,447,459.62
5. Step 5: Solve for x
   x = 58,447,459.62/7,577.83
6. Step 6: Final answer
   x = 7,712.95