Finding the Fourth Proportional to 10,469.57, 15,709.74 and 5,788.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,469.57 : 15,709.74 = 5,788.70 : x
2. Step 2: Convert to fraction form
   10,469.57/15,709.74 = 5,788.70/x
3. Step 3: Cross multiply
   10,469.57x = 15,709.74 × 5,788.70
4. Step 4: Simplify right side
   10,469.57x = 90,938,971.94
5. Step 5: Solve for x
   x = 90,938,971.94/10,469.57
6. Step 6: Final answer
   x = 8,686.03