Finding the Fourth Proportional to 10,502.16, 15,756.32 and 3,106.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.16 : 15,756.32 = 3,106.82 : x
2. Step 2: Convert to fraction form
   10,502.16/15,756.32 = 3,106.82/x
3. Step 3: Cross multiply
   10,502.16x = 15,756.32 × 3,106.82
4. Step 4: Simplify right side
   10,502.16x = 48,952,050.10
5. Step 5: Solve for x
   x = 48,952,050.10/10,502.16
6. Step 6: Final answer
   x = 4,661.14