Finding the Fourth Proportional to 9,101.14, 12,564.04 and 5,565.48

Step by Step Solution

1. Step 1: Write the proportion equation
   9,101.14 : 12,564.04 = 5,565.48 : x
2. Step 2: Convert to fraction form
   9,101.14/12,564.04 = 5,565.48/x
3. Step 3: Cross multiply
   9,101.14x = 12,564.04 × 5,565.48
4. Step 4: Simplify right side
   9,101.14x = 69,924,913.34
5. Step 5: Solve for x
   x = 69,924,913.34/9,101.14
6. Step 6: Final answer
   x = 7,683.09