Finding the Fourth Proportional to 10,980.78, 16,465.65 and 3,584.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,980.78 : 16,465.65 = 3,584.34 : x
2. Step 2: Convert to fraction form
   10,980.78/16,465.65 = 3,584.34/x
3. Step 3: Cross multiply
   10,980.78x = 16,465.65 × 3,584.34
4. Step 4: Simplify right side
   10,980.78x = 59,018,487.92
5. Step 5: Solve for x
   x = 59,018,487.92/10,980.78
6. Step 6: Final answer
   x = 5,374.71