Finding the Fourth Proportional to 9,830.47, 13,566.82 and 5,582.23

Step by Step Solution

1. Step 1: Write the proportion equation
   9,830.47 : 13,566.82 = 5,582.23 : x
2. Step 2: Convert to fraction form
   9,830.47/13,566.82 = 5,582.23/x
3. Step 3: Cross multiply
   9,830.47x = 13,566.82 × 5,582.23
4. Step 4: Simplify right side
   9,830.47x = 75,733,109.61
5. Step 5: Solve for x
   x = 75,733,109.61/9,830.47
6. Step 6: Final answer
   x = 7,703.92