Finding the Fourth Proportional to 10,105.87, 15,130.86 and 5,164.87

Step by Step Solution

1. Step 1: Write the proportion equation
   10,105.87 : 15,130.86 = 5,164.87 : x
2. Step 2: Convert to fraction form
   10,105.87/15,130.86 = 5,164.87/x
3. Step 3: Cross multiply
   10,105.87x = 15,130.86 × 5,164.87
4. Step 4: Simplify right side
   10,105.87x = 78,148,924.89
5. Step 5: Solve for x
   x = 78,148,924.89/10,105.87
6. Step 6: Final answer
   x = 7,733.02