Finding the Fourth Proportional to 10,454.16, 14,426.24 and 5,978.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,454.16 : 14,426.24 = 5,978.64 : x
2. Step 2: Convert to fraction form
   10,454.16/14,426.24 = 5,978.64/x
3. Step 3: Cross multiply
   10,454.16x = 14,426.24 × 5,978.64
4. Step 4: Simplify right side
   10,454.16x = 86,249,295.51
5. Step 5: Solve for x
   x = 86,249,295.51/10,454.16
6. Step 6: Final answer
   x = 8,250.24