Finding the Fourth Proportional to 5,978.04, 8,969.62 and 5,468.60

Step by Step Solution

1. Step 1: Write the proportion equation
   5,978.04 : 8,969.62 = 5,468.60 : x
2. Step 2: Convert to fraction form
   5,978.04/8,969.62 = 5,468.60/x
3. Step 3: Cross multiply
   5,978.04x = 8,969.62 × 5,468.60
4. Step 4: Simplify right side
   5,978.04x = 49,051,263.93
5. Step 5: Solve for x
   x = 49,051,263.93/5,978.04
6. Step 6: Final answer
   x = 8,205.24