Finding the Fourth Proportional to 10,838.56, 16,258.62 and 5,296.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,838.56 : 16,258.62 = 5,296.52 : x
2. Step 2: Convert to fraction form
   10,838.56/16,258.62 = 5,296.52/x
3. Step 3: Cross multiply
   10,838.56x = 16,258.62 × 5,296.52
4. Step 4: Simplify right side
   10,838.56x = 86,114,106.00
5. Step 5: Solve for x
   x = 86,114,106.00/10,838.56
6. Step 6: Final answer
   x = 7,945.16