Finding the Fourth Proportional to 9,782.40, 13,499.46 and 5,590.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782.40 : 13,499.46 = 5,590.38 : x
2. Step 2: Convert to fraction form
   9,782.40/13,499.46 = 5,590.38/x
3. Step 3: Cross multiply
   9,782.40x = 13,499.46 × 5,590.38
4. Step 4: Simplify right side
   9,782.40x = 75,467,111.19
5. Step 5: Solve for x
   x = 75,467,111.19/9,782.40
6. Step 6: Final answer
   x = 7,714.58