Finding the Fourth Proportional to 12,564.82, 18,847.59 and 5,164.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,564.82 : 18,847.59 = 5,164.16 : x
2. Step 2: Convert to fraction form
   12,564.82/18,847.59 = 5,164.16/x
3. Step 3: Cross multiply
   12,564.82x = 18,847.59 × 5,164.16
4. Step 4: Simplify right side
   12,564.82x = 97,331,856.77
5. Step 5: Solve for x
   x = 97,331,856.77/12,564.82
6. Step 6: Final answer
   x = 7,746.38