Finding the Fourth Proportional to 10,978.06, 16,469.70 and 3,582.53

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.06 : 16,469.70 = 3,582.53 : x
2. Step 2: Convert to fraction form
   10,978.06/16,469.70 = 3,582.53/x
3. Step 3: Cross multiply
   10,978.06x = 16,469.70 × 3,582.53
4. Step 4: Simplify right side
   10,978.06x = 59,003,194.34
5. Step 5: Solve for x
   x = 59,003,194.34/10,978.06
6. Step 6: Final answer
   x = 5,374.65