Finding the Fourth Proportional to 10,747.63, 14,831.87 and 5,902.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,747.63 : 14,831.87 = 5,902.75 : x
2. Step 2: Convert to fraction form
   10,747.63/14,831.87 = 5,902.75/x
3. Step 3: Cross multiply
   10,747.63x = 14,831.87 × 5,902.75
4. Step 4: Simplify right side
   10,747.63x = 87,548,835.40
5. Step 5: Solve for x
   x = 87,548,835.40/10,747.63
6. Step 6: Final answer
   x = 8,145.88