Finding the Fourth Proportional to 9,922.88, 13,695.60 and 5,730.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,922.88 : 13,695.60 = 5,730.56 : x
2. Step 2: Convert to fraction form
   9,922.88/13,695.60 = 5,730.56/x
3. Step 3: Cross multiply
   9,922.88x = 13,695.60 × 5,730.56
4. Step 4: Simplify right side
   9,922.88x = 78,483,457.54
5. Step 5: Solve for x
   x = 78,483,457.54/9,922.88
6. Step 6: Final answer
   x = 7,909.34