Finding the Fourth Proportional to 10,381.97, 14,327.58 and 5,846.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,381.97 : 14,327.58 = 5,846.21 : x
2. Step 2: Convert to fraction form
   10,381.97/14,327.58 = 5,846.21/x
3. Step 3: Cross multiply
   10,381.97x = 14,327.58 × 5,846.21
4. Step 4: Simplify right side
   10,381.97x = 83,762,041.47
5. Step 5: Solve for x
   x = 83,762,041.47/10,381.97
6. Step 6: Final answer
   x = 8,068.03