Finding the Fourth Proportional to 10,384.05, 14,328.43 and 5,846.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,384.05 : 14,328.43 = 5,846.07 : x
2. Step 2: Convert to fraction form
   10,384.05/14,328.43 = 5,846.07/x
3. Step 3: Cross multiply
   10,384.05x = 14,328.43 × 5,846.07
4. Step 4: Simplify right side
   10,384.05x = 83,765,004.77
5. Step 5: Solve for x
   x = 83,765,004.77/10,384.05
6. Step 6: Final answer
   x = 8,066.70