Finding the Fourth Proportional to 10,474.86, 15,708.17 and 3,809.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,474.86 : 15,708.17 = 3,809.78 : x
2. Step 2: Convert to fraction form
   10,474.86/15,708.17 = 3,809.78/x
3. Step 3: Cross multiply
   10,474.86x = 15,708.17 × 3,809.78
4. Step 4: Simplify right side
   10,474.86x = 59,844,602.89
5. Step 5: Solve for x
   x = 59,844,602.89/10,474.86
6. Step 6: Final answer
   x = 5,713.16