Finding the Fourth Proportional to 9,315.88, 12,857.22 and 5,780.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,315.88 : 12,857.22 = 5,780.23 : x
2. Step 2: Convert to fraction form
   9,315.88/12,857.22 = 5,780.23/x
3. Step 3: Cross multiply
   9,315.88x = 12,857.22 × 5,780.23
4. Step 4: Simplify right side
   9,315.88x = 74,317,688.76
5. Step 5: Solve for x
   x = 74,317,688.76/9,315.88
6. Step 6: Final answer
   x = 7,977.53