Finding the Fourth Proportional to 9,218.83, 12,722.96 and 5,635.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,218.83 : 12,722.96 = 5,635.88 : x
2. Step 2: Convert to fraction form
   9,218.83/12,722.96 = 5,635.88/x
3. Step 3: Cross multiply
   9,218.83x = 12,722.96 × 5,635.88
4. Step 4: Simplify right side
   9,218.83x = 71,705,047.63
5. Step 5: Solve for x
   x = 71,705,047.63/9,218.83
6. Step 6: Final answer
   x = 7,778.11