Finding the Fourth Proportional to 10,594.23, 14,619.69 and 5,878.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594.23 : 14,619.69 = 5,878.86 : x
2. Step 2: Convert to fraction form
   10,594.23/14,619.69 = 5,878.86/x
3. Step 3: Cross multiply
   10,594.23x = 14,619.69 × 5,878.86
4. Step 4: Simplify right side
   10,594.23x = 85,947,110.75
5. Step 5: Solve for x
   x = 85,947,110.75/10,594.23
6. Step 6: Final answer
   x = 8,112.63