Finding the Fourth Proportional to 9,974.12, 13,766.40 and 5,725.89

Step by Step Solution

1. Step 1: Write the proportion equation
   9,974.12 : 13,766.40 = 5,725.89 : x
2. Step 2: Convert to fraction form
   9,974.12/13,766.40 = 5,725.89/x
3. Step 3: Cross multiply
   9,974.12x = 13,766.40 × 5,725.89
4. Step 4: Simplify right side
   9,974.12x = 78,824,892.10
5. Step 5: Solve for x
   x = 78,824,892.10/9,974.12
6. Step 6: Final answer
   x = 7,902.95