Finding the Fourth Proportional to 10,581.96, 14,603.27 and 5,802.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581.96 : 14,603.27 = 5,802.34 : x
2. Step 2: Convert to fraction form
   10,581.96/14,603.27 = 5,802.34/x
3. Step 3: Cross multiply
   10,581.96x = 14,603.27 × 5,802.34
4. Step 4: Simplify right side
   10,581.96x = 84,733,065.62
5. Step 5: Solve for x
   x = 84,733,065.62/10,581.96
6. Step 6: Final answer
   x = 8,007.32