Finding the Fourth Proportional to 9,783.09, 13,500.30 and 5,801.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.09 : 13,500.30 = 5,801.82 : x
2. Step 2: Convert to fraction form
   9,783.09/13,500.30 = 5,801.82/x
3. Step 3: Cross multiply
   9,783.09x = 13,500.30 × 5,801.82
4. Step 4: Simplify right side
   9,783.09x = 78,326,310.55
5. Step 5: Solve for x
   x = 78,326,310.55/9,783.09
6. Step 6: Final answer
   x = 8,006.30