Finding the Fourth Proportional to 10,434.32, 15,641.76 and 5,234.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434.32 : 15,641.76 = 5,234.16 : x
2. Step 2: Convert to fraction form
   10,434.32/15,641.76 = 5,234.16/x
3. Step 3: Cross multiply
   10,434.32x = 15,641.76 × 5,234.16
4. Step 4: Simplify right side
   10,434.32x = 81,871,474.52
5. Step 5: Solve for x
   x = 81,871,474.52/10,434.32
6. Step 6: Final answer
   x = 7,846.36