Finding the Fourth Proportional to 9,419.54, 12,997.86 and 5,590.59

Step by Step Solution

1. Step 1: Write the proportion equation
   9,419.54 : 12,997.86 = 5,590.59 : x
2. Step 2: Convert to fraction form
   9,419.54/12,997.86 = 5,590.59/x
3. Step 3: Cross multiply
   9,419.54x = 12,997.86 × 5,590.59
4. Step 4: Simplify right side
   9,419.54x = 72,665,636.43
5. Step 5: Solve for x
   x = 72,665,636.43/9,419.54
6. Step 6: Final answer
   x = 7,714.35