Finding the Fourth Proportional to 9,214.32, 12,712.56 and 5,628.33

Step by Step Solution

1. Step 1: Write the proportion equation
   9,214.32 : 12,712.56 = 5,628.33 : x
2. Step 2: Convert to fraction form
   9,214.32/12,712.56 = 5,628.33/x
3. Step 3: Cross multiply
   9,214.32x = 12,712.56 × 5,628.33
4. Step 4: Simplify right side
   9,214.32x = 71,550,482.82
5. Step 5: Solve for x
   x = 71,550,482.82/9,214.32
6. Step 6: Final answer
   x = 7,765.14