Finding the Fourth Proportional to 10,064.62, 13,889.42 and 5,588.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,064.62 : 13,889.42 = 5,588.16 : x
2. Step 2: Convert to fraction form
   10,064.62/13,889.42 = 5,588.16/x
3. Step 3: Cross multiply
   10,064.62x = 13,889.42 × 5,588.16
4. Step 4: Simplify right side
   10,064.62x = 77,616,273.63
5. Step 5: Solve for x
   x = 77,616,273.63/10,064.62
6. Step 6: Final answer
   x = 7,711.79