Finding the Fourth Proportional to 6,978.15, 9,633.60 and 5,381.30

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978.15 : 9,633.60 = 5,381.30 : x
2. Step 2: Convert to fraction form
   6,978.15/9,633.60 = 5,381.30/x
3. Step 3: Cross multiply
   6,978.15x = 9,633.60 × 5,381.30
4. Step 4: Simplify right side
   6,978.15x = 51,841,315.76
5. Step 5: Solve for x
   x = 51,841,315.76/6,978.15
6. Step 6: Final answer
   x = 7,429.09