Finding the Fourth Proportional to 10,322.32, 14,244.72 and 5,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,322.32 : 14,244.72 = 5,846 : x
2. Step 2: Convert to fraction form
   10,322.32/14,244.72 = 5,846/x
3. Step 3: Cross multiply
   10,322.32x = 14,244.72 × 5,846
4. Step 4: Simplify right side
   10,322.32x = 83,274,633.12
5. Step 5: Solve for x
   x = 83,274,633.12/10,322.32
6. Step 6: Final answer
   x = 8,067.43