Finding the Fourth Proportional to 12,974.56, 19,458.22 and 5,577.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,974.56 : 19,458.22 = 5,577.38 : x
2. Step 2: Convert to fraction form
   12,974.56/19,458.22 = 5,577.38/x
3. Step 3: Cross multiply
   12,974.56x = 19,458.22 × 5,577.38
4. Step 4: Simplify right side
   12,974.56x = 108,525,887.06
5. Step 5: Solve for x
   x = 108,525,887.06/12,974.56
6. Step 6: Final answer
   x = 8,364.51