Finding the Fourth Proportional to 9,914.71, 13,679.52 and 5,664.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,914.71 : 13,679.52 = 5,664.24 : x
2. Step 2: Convert to fraction form
   9,914.71/13,679.52 = 5,664.24/x
3. Step 3: Cross multiply
   9,914.71x = 13,679.52 × 5,664.24
4. Step 4: Simplify right side
   9,914.71x = 77,483,987.65
5. Step 5: Solve for x
   x = 77,483,987.65/9,914.71
6. Step 6: Final answer
   x = 7,815.05