Finding the Fourth Proportional to 10,756.88, 16,138.56 and 3,830.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,756.88 : 16,138.56 = 3,830.48 : x
2. Step 2: Convert to fraction form
   10,756.88/16,138.56 = 3,830.48/x
3. Step 3: Cross multiply
   10,756.88x = 16,138.56 × 3,830.48
4. Step 4: Simplify right side
   10,756.88x = 61,818,431.31
5. Step 5: Solve for x
   x = 61,818,431.31/10,756.88
6. Step 6: Final answer
   x = 5,746.87