Finding the Fourth Proportional to 10,593.82, 14,619.48 and 5,878.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,593.82 : 14,619.48 = 5,878.10 : x
2. Step 2: Convert to fraction form
   10,593.82/14,619.48 = 5,878.10/x
3. Step 3: Cross multiply
   10,593.82x = 14,619.48 × 5,878.10
4. Step 4: Simplify right side
   10,593.82x = 85,934,728.84
5. Step 5: Solve for x
   x = 85,934,728.84/10,593.82
6. Step 6: Final answer
   x = 8,111.78