Finding the Fourth Proportional to 10,085.14, 15,129.26 and 5,152.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,085.14 : 15,129.26 = 5,152.10 : x
2. Step 2: Convert to fraction form
   10,085.14/15,129.26 = 5,152.10/x
3. Step 3: Cross multiply
   10,085.14x = 15,129.26 × 5,152.10
4. Step 4: Simplify right side
   10,085.14x = 77,947,460.45
5. Step 5: Solve for x
   x = 77,947,460.45/10,085.14
6. Step 6: Final answer
   x = 7,728.94