Finding the Fourth Proportional to 9,557.15, 13,189.58 and 5,780.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,557.15 : 13,189.58 = 5,780.46 : x
2. Step 2: Convert to fraction form
   9,557.15/13,189.58 = 5,780.46/x
3. Step 3: Cross multiply
   9,557.15x = 13,189.58 × 5,780.46
4. Step 4: Simplify right side
   9,557.15x = 76,241,839.61
5. Step 5: Solve for x
   x = 76,241,839.61/9,557.15
6. Step 6: Final answer
   x = 7,977.47