Finding the Fourth Proportional to 10,004.42, 15,015.76 and 5,077.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,004.42 : 15,015.76 = 5,077.46 : x
2. Step 2: Convert to fraction form
   10,004.42/15,015.76 = 5,077.46/x
3. Step 3: Cross multiply
   10,004.42x = 15,015.76 × 5,077.46
4. Step 4: Simplify right side
   10,004.42x = 76,241,920.77
5. Step 5: Solve for x
   x = 76,241,920.77/10,004.42
6. Step 6: Final answer
   x = 7,620.82