Finding the Fourth Proportional to 9,774.37, 13,490.43 and 5,582.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,774.37 : 13,490.43 = 5,582.62 : x
2. Step 2: Convert to fraction form
   9,774.37/13,490.43 = 5,582.62/x
3. Step 3: Cross multiply
   9,774.37x = 13,490.43 × 5,582.62
4. Step 4: Simplify right side
   9,774.37x = 75,311,876.87
5. Step 5: Solve for x
   x = 75,311,876.87/9,774.37
6. Step 6: Final answer
   x = 7,705.04