Finding the Fourth Proportional to 10,594.34, 14,620.28 and 5,878.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,594.34 : 14,620.28 = 5,878.70 : x
2. Step 2: Convert to fraction form
   10,594.34/14,620.28 = 5,878.70/x
3. Step 3: Cross multiply
   10,594.34x = 14,620.28 × 5,878.70
4. Step 4: Simplify right side
   10,594.34x = 85,948,137.54
5. Step 5: Solve for x
   x = 85,948,137.54/10,594.34
6. Step 6: Final answer
   x = 8,112.65