Finding the Fourth Proportional to 9,602.47, 13,241.31 and 7,582.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,602.47 : 13,241.31 = 7,582.53 : x
2. Step 2: Convert to fraction form
   9,602.47/13,241.31 = 7,582.53/x
3. Step 3: Cross multiply
   9,602.47x = 13,241.31 × 7,582.53
4. Step 4: Simplify right side
   9,602.47x = 100,402,577.05
5. Step 5: Solve for x
   x = 100,402,577.05/9,602.47
6. Step 6: Final answer
   x = 10,455.92