Finding the Fourth Proportional to 12,591.77, 18,872.16 and 5,564.21

Step by Step Solution

1. Step 1: Write the proportion equation
   12,591.77 : 18,872.16 = 5,564.21 : x
2. Step 2: Convert to fraction form
   12,591.77/18,872.16 = 5,564.21/x
3. Step 3: Cross multiply
   12,591.77x = 18,872.16 × 5,564.21
4. Step 4: Simplify right side
   12,591.77x = 105,008,546.17
5. Step 5: Solve for x
   x = 105,008,546.17/12,591.77
6. Step 6: Final answer
   x = 8,339.46