Finding the Fourth Proportional to 10,978.76, 16,468.64 and 3,583.32

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978.76 : 16,468.64 = 3,583.32 : x
2. Step 2: Convert to fraction form
   10,978.76/16,468.64 = 3,583.32/x
3. Step 3: Cross multiply
   10,978.76x = 16,468.64 × 3,583.32
4. Step 4: Simplify right side
   10,978.76x = 59,012,407.08
5. Step 5: Solve for x
   x = 59,012,407.08/10,978.76
6. Step 6: Final answer
   x = 5,375.14