Finding the Fourth Proportional to 9,974.52, 14,949.06 and 5,296.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.52 : 14,949.06 = 5,296.77 : x
2. Step 2: Convert to fraction form
   9,974.52/14,949.06 = 5,296.77/x
3. Step 3: Cross multiply
   9,974.52x = 14,949.06 × 5,296.77
4. Step 4: Simplify right side
   9,974.52x = 79,181,670.63
5. Step 5: Solve for x
   x = 79,181,670.63/9,974.52
6. Step 6: Final answer
   x = 7,938.40