Finding the Fourth Proportional to 9,577.60, 13,218.64 and 5,597.93

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.60 : 13,218.64 = 5,597.93 : x
2. Step 2: Convert to fraction form
   9,577.60/13,218.64 = 5,597.93/x
3. Step 3: Cross multiply
   9,577.60x = 13,218.64 × 5,597.93
4. Step 4: Simplify right side
   9,577.60x = 73,997,040.47
5. Step 5: Solve for x
   x = 73,997,040.47/9,577.60
6. Step 6: Final answer
   x = 7,726.05