Finding the Fourth Proportional to 9,219.15, 12,723.57 and 5,633.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,219.15 : 12,723.57 = 5,633.37 : x
2. Step 2: Convert to fraction form
   9,219.15/12,723.57 = 5,633.37/x
3. Step 3: Cross multiply
   9,219.15x = 12,723.57 × 5,633.37
4. Step 4: Simplify right side
   9,219.15x = 71,676,577.53
5. Step 5: Solve for x
   x = 71,676,577.53/9,219.15
6. Step 6: Final answer
   x = 7,774.75