Finding the Fourth Proportional to 10,564.16, 15,837.93 and 5,296.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564.16 : 15,837.93 = 5,296.52 : x
2. Step 2: Convert to fraction form
   10,564.16/15,837.93 = 5,296.52/x
3. Step 3: Cross multiply
   10,564.16x = 15,837.93 × 5,296.52
4. Step 4: Simplify right side
   10,564.16x = 83,885,952.60
5. Step 5: Solve for x
   x = 83,885,952.60/10,564.16
6. Step 6: Final answer
   x = 7,940.62