Finding the Fourth Proportional to 9,101.76, 12,560.56 and 5,564.22

Step by Step Solution

1. Step 1: Write the proportion equation
   9,101.76 : 12,560.56 = 5,564.22 : x
2. Step 2: Convert to fraction form
   9,101.76/12,560.56 = 5,564.22/x
3. Step 3: Cross multiply
   9,101.76x = 12,560.56 × 5,564.22
4. Step 4: Simplify right side
   9,101.76x = 69,889,719.16
5. Step 5: Solve for x
   x = 69,889,719.16/9,101.76
6. Step 6: Final answer
   x = 7,678.70