Finding the Fourth Proportional to 5,978.76, 8,969.64 and 3,515.64

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.76 : 8,969.64 = 3,515.64 : x
2. Step 2: Convert to fraction form
   5,978.76/8,969.64 = 3,515.64/x
3. Step 3: Cross multiply
   5,978.76x = 8,969.64 × 3,515.64
4. Step 4: Simplify right side
   5,978.76x = 31,534,025.17
5. Step 5: Solve for x
   x = 31,534,025.17/5,978.76
6. Step 6: Final answer
   x = 5,274.34