Finding the Fourth Proportional to 13,157.11, 19,749.71 and 5,664.37

Step by Step Solution

1. Step 1: Write the proportion equation
   13,157.11 : 19,749.71 = 5,664.37 : x
2. Step 2: Convert to fraction form
   13,157.11/19,749.71 = 5,664.37/x
3. Step 3: Cross multiply
   13,157.11x = 19,749.71 × 5,664.37
4. Step 4: Simplify right side
   13,157.11x = 111,869,685.89
5. Step 5: Solve for x
   x = 111,869,685.89/13,157.11
6. Step 6: Final answer
   x = 8,502.61