Finding the Fourth Proportional to 10,506.38, 15,765.71 and 5,830.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506.38 : 15,765.71 = 5,830.31 : x
2. Step 2: Convert to fraction form
   10,506.38/15,765.71 = 5,830.31/x
3. Step 3: Cross multiply
   10,506.38x = 15,765.71 × 5,830.31
4. Step 4: Simplify right side
   10,506.38x = 91,918,986.93
5. Step 5: Solve for x
   x = 91,918,986.93/10,506.38
6. Step 6: Final answer
   x = 8,748.88