Finding the Fourth Proportional to 10,296.34, 15,443.90 and 5,029.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,296.34 : 15,443.90 = 5,029.32 : x
2. Step 2: Convert to fraction form
   10,296.34/15,443.90 = 5,029.32/x
3. Step 3: Cross multiply
   10,296.34x = 15,443.90 × 5,029.32
4. Step 4: Simplify right side
   10,296.34x = 77,672,315.15
5. Step 5: Solve for x
   x = 77,672,315.15/10,296.34
6. Step 6: Final answer
   x = 7,543.68