Finding the Fourth Proportional to 9,815.76, 13,546.31 and 5,783.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,815.76 : 13,546.31 = 5,783.94 : x
2. Step 2: Convert to fraction form
   9,815.76/13,546.31 = 5,783.94/x
3. Step 3: Cross multiply
   9,815.76x = 13,546.31 × 5,783.94
4. Step 4: Simplify right side
   9,815.76x = 78,351,015.34
5. Step 5: Solve for x
   x = 78,351,015.34/9,815.76
6. Step 6: Final answer
   x = 7,982.16