Finding the Fourth Proportional to 10,109.81, 15,167.71 and 5,182.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,109.81 : 15,167.71 = 5,182.92 : x
2. Step 2: Convert to fraction form
   10,109.81/15,167.71 = 5,182.92/x
3. Step 3: Cross multiply
   10,109.81x = 15,167.71 × 5,182.92
4. Step 4: Simplify right side
   10,109.81x = 78,613,004.84
5. Step 5: Solve for x
   x = 78,613,004.84/10,109.81
6. Step 6: Final answer
   x = 7,775.91