Finding the Fourth Proportional to 6,978.03, 9,633.99 and 4,461.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.03 : 9,633.99 = 4,461.16 : x
2. Step 2: Convert to fraction form
   6,978.03/9,633.99 = 4,461.16/x
3. Step 3: Cross multiply
   6,978.03x = 9,633.99 × 4,461.16
4. Step 4: Simplify right side
   6,978.03x = 42,978,770.83
5. Step 5: Solve for x
   x = 42,978,770.83/6,978.03
6. Step 6: Final answer
   x = 6,159.16