Finding the Fourth Proportional to 9,549.15, 13,178.35 and 5,772.30

Step by Step Solution

1. Step 1: Write the proportion equation
   9,549.15 : 13,178.35 = 5,772.30 : x
2. Step 2: Convert to fraction form
   9,549.15/13,178.35 = 5,772.30/x
3. Step 3: Cross multiply
   9,549.15x = 13,178.35 × 5,772.30
4. Step 4: Simplify right side
   9,549.15x = 76,069,389.71
5. Step 5: Solve for x
   x = 76,069,389.71/9,549.15
6. Step 6: Final answer
   x = 7,966.09