Finding the Fourth Proportional to 12,774.10, 17,628.60 and 7,737.25

Step by Step Solution

1. Step 1: Write the proportion equation
   12,774.10 : 17,628.60 = 7,737.25 : x
2. Step 2: Convert to fraction form
   12,774.10/17,628.60 = 7,737.25/x
3. Step 3: Cross multiply
   12,774.10x = 17,628.60 × 7,737.25
4. Step 4: Simplify right side
   12,774.10x = 136,396,885.35
5. Step 5: Solve for x
   x = 136,396,885.35/12,774.10
6. Step 6: Final answer
   x = 10,677.61