Finding the Fourth Proportional to 10,106.37, 15,131.61 and 5,165.37

Step by Step Solution

1. Step 1: Write the proportion equation
   10,106.37 : 15,131.61 = 5,165.37 : x
2. Step 2: Convert to fraction form
   10,106.37/15,131.61 = 5,165.37/x
3. Step 3: Cross multiply
   10,106.37x = 15,131.61 × 5,165.37
4. Step 4: Simplify right side
   10,106.37x = 78,160,364.35
5. Step 5: Solve for x
   x = 78,160,364.35/10,106.37
6. Step 6: Final answer
   x = 7,733.77