Finding the Fourth Proportional to 10,582.46, 14,603.96 and 5,802.84

Step by Step Solution

1. Step 1: Write the proportion equation
   10,582.46 : 14,603.96 = 5,802.84 : x
2. Step 2: Convert to fraction form
   10,582.46/14,603.96 = 5,802.84/x
3. Step 3: Cross multiply
   10,582.46x = 14,603.96 × 5,802.84
4. Step 4: Simplify right side
   10,582.46x = 84,744,341.21
5. Step 5: Solve for x
   x = 84,744,341.21/10,582.46
6. Step 6: Final answer
   x = 8,008.00