Finding the Fourth Proportional to 9,178.15, 13,764.31 and 5,662.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178.15 : 13,764.31 = 5,662.88 : x
2. Step 2: Convert to fraction form
   9,178.15/13,764.31 = 5,662.88/x
3. Step 3: Cross multiply
   9,178.15x = 13,764.31 × 5,662.88
4. Step 4: Simplify right side
   9,178.15x = 77,945,607.50
5. Step 5: Solve for x
   x = 77,945,607.50/9,178.15
6. Step 6: Final answer
   x = 8,492.52