Finding the Fourth Proportional to 10,296.33, 15,429.84 and 5,606.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.33 : 15,429.84 = 5,606.16 : x
2. Step 2: Convert to fraction form
   10,296.33/15,429.84 = 5,606.16/x
3. Step 3: Cross multiply
   10,296.33x = 15,429.84 × 5,606.16
4. Step 4: Simplify right side
   10,296.33x = 86,502,151.81
5. Step 5: Solve for x
   x = 86,502,151.81/10,296.33
6. Step 6: Final answer
   x = 8,401.26