Finding the Fourth Proportional to 5,577.58, 7,689.36 and 5,405.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,577.58 : 7,689.36 = 5,405.05 : x
2. Step 2: Convert to fraction form
   5,577.58/7,689.36 = 5,405.05/x
3. Step 3: Cross multiply
   5,577.58x = 7,689.36 × 5,405.05
4. Step 4: Simplify right side
   5,577.58x = 41,561,375.27
5. Step 5: Solve for x
   x = 41,561,375.27/5,577.58
6. Step 6: Final answer
   x = 7,451.51