Finding the Fourth Proportional to 9,783.09, 13,499.60 and 5,590.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,783.09 : 13,499.60 = 5,590.53 : x
2. Step 2: Convert to fraction form
   9,783.09/13,499.60 = 5,590.53/x
3. Step 3: Cross multiply
   9,783.09x = 13,499.60 × 5,590.53
4. Step 4: Simplify right side
   9,783.09x = 75,469,890.84
5. Step 5: Solve for x
   x = 75,469,890.84/9,783.09
6. Step 6: Final answer
   x = 7,714.32