Finding the Fourth Proportional to 7,594.98, 10,475.42 and 5,577.77

Step by Step Solution

1. Step 1: Write the proportion equation
   7,594.98 : 10,475.42 = 5,577.77 : x
2. Step 2: Convert to fraction form
   7,594.98/10,475.42 = 5,577.77/x
3. Step 3: Cross multiply
   7,594.98x = 10,475.42 × 5,577.77
4. Step 4: Simplify right side
   7,594.98x = 58,429,403.15
5. Step 5: Solve for x
   x = 58,429,403.15/7,594.98
6. Step 6: Final answer
   x = 7,693.16