Finding the Fourth Proportional to 9,557.82, 13,190.46 and 5,781.15

Step by Step Solution

1. Step 1: Write the proportion equation
   9,557.82 : 13,190.46 = 5,781.15 : x
2. Step 2: Convert to fraction form
   9,557.82/13,190.46 = 5,781.15/x
3. Step 3: Cross multiply
   9,557.82x = 13,190.46 × 5,781.15
4. Step 4: Simplify right side
   9,557.82x = 76,256,027.83
5. Step 5: Solve for x
   x = 76,256,027.83/9,557.82
6. Step 6: Final answer
   x = 7,978.39