Finding the Fourth Proportional to 10,594.41, 14,620.74 and 5,878.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594.41 : 14,620.74 = 5,878.69 : x
2. Step 2: Convert to fraction form
   10,594.41/14,620.74 = 5,878.69/x
3. Step 3: Cross multiply
   10,594.41x = 14,620.74 × 5,878.69
4. Step 4: Simplify right side
   10,594.41x = 85,950,739.43
5. Step 5: Solve for x
   x = 85,950,739.43/10,594.41
6. Step 6: Final answer
   x = 8,112.84