Finding the Fourth Proportional to 9,811.87, 13,535.61 and 5,830.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,811.87 : 13,535.61 = 5,830.16 : x
2. Step 2: Convert to fraction form
   9,811.87/13,535.61 = 5,830.16/x
3. Step 3: Cross multiply
   9,811.87x = 13,535.61 × 5,830.16
4. Step 4: Simplify right side
   9,811.87x = 78,914,776.94
5. Step 5: Solve for x
   x = 78,914,776.94/9,811.87
6. Step 6: Final answer
   x = 8,042.79