Finding the Fourth Proportional to 10,592.21, 14,619 and 5,878.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,592.21 : 14,619 = 5,878.01 : x
2. Step 2: Convert to fraction form
   10,592.21/14,619 = 5,878.01/x
3. Step 3: Cross multiply
   10,592.21x = 14,619 × 5,878.01
4. Step 4: Simplify right side
   10,592.21x = 85,930,555.10
5. Step 5: Solve for x
   x = 85,930,555.10/10,592.21
6. Step 6: Final answer
   x = 8,112.62