Finding the Fourth Proportional to 10,004.14, 15,015.62 and 5,077.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.14 : 15,015.62 = 5,077.31 : x
2. Step 2: Convert to fraction form
   10,004.14/15,015.62 = 5,077.31/x
3. Step 3: Cross multiply
   10,004.14x = 15,015.62 × 5,077.31
4. Step 4: Simplify right side
   10,004.14x = 76,239,007.81
5. Step 5: Solve for x
   x = 76,239,007.81/10,004.14
6. Step 6: Final answer
   x = 7,620.75