Finding the Fourth Proportional to 10,488.96, 15,742.08 and 5,296.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,488.96 : 15,742.08 = 5,296.32 : x
2. Step 2: Convert to fraction form
   10,488.96/15,742.08 = 5,296.32/x
3. Step 3: Cross multiply
   10,488.96x = 15,742.08 × 5,296.32
4. Step 4: Simplify right side
   10,488.96x = 83,375,093.15
5. Step 5: Solve for x
   x = 83,375,093.15/10,488.96
6. Step 6: Final answer
   x = 7,948.84