Finding the Fourth Proportional to 9,105.32, 12,562.62 and 5,564.90

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105.32 : 12,562.62 = 5,564.90 : x
2. Step 2: Convert to fraction form
   9,105.32/12,562.62 = 5,564.90/x
3. Step 3: Cross multiply
   9,105.32x = 12,562.62 × 5,564.90
4. Step 4: Simplify right side
   9,105.32x = 69,909,724.04
5. Step 5: Solve for x
   x = 69,909,724.04/9,105.32
6. Step 6: Final answer
   x = 7,677.90