Finding the Fourth Proportional to 9,815.76, 13,539.72 and 5,834.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,815.76 : 13,539.72 = 5,834.16 : x
2. Step 2: Convert to fraction form
   9,815.76/13,539.72 = 5,834.16/x
3. Step 3: Cross multiply
   9,815.76x = 13,539.72 × 5,834.16
4. Step 4: Simplify right side
   9,815.76x = 78,992,892.84
5. Step 5: Solve for x
   x = 78,992,892.84/9,815.76
6. Step 6: Final answer
   x = 8,047.56