Finding the Fourth Proportional to 10,077.07, 15,105.48 and 3,835.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.07 : 15,105.48 = 3,835.48 : x
2. Step 2: Convert to fraction form
   10,077.07/15,105.48 = 3,835.48/x
3. Step 3: Cross multiply
   10,077.07x = 15,105.48 × 3,835.48
4. Step 4: Simplify right side
   10,077.07x = 57,936,766.43
5. Step 5: Solve for x
   x = 57,936,766.43/10,077.07
6. Step 6: Final answer
   x = 5,749.37