Finding the Fourth Proportional to 10,594.56, 14,620.80 and 5,878.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594.56 : 14,620.80 = 5,878.68 : x
2. Step 2: Convert to fraction form
   10,594.56/14,620.80 = 5,878.68/x
3. Step 3: Cross multiply
   10,594.56x = 14,620.80 × 5,878.68
4. Step 4: Simplify right side
   10,594.56x = 85,951,004.54
5. Step 5: Solve for x
   x = 85,951,004.54/10,594.56
6. Step 6: Final answer
   x = 8,112.75