Finding the Fourth Proportional to 12,774.40, 17,630.25 and 7,737.67

Step by Step Solution

1. Step 1: Write the proportion equation
   12,774.40 : 17,630.25 = 7,737.67 : x
2. Step 2: Convert to fraction form
   12,774.40/17,630.25 = 7,737.67/x
3. Step 3: Cross multiply
   12,774.40x = 17,630.25 × 7,737.67
4. Step 4: Simplify right side
   12,774.40x = 136,417,056.52
5. Step 5: Solve for x
   x = 136,417,056.52/12,774.40
6. Step 6: Final answer
   x = 10,678.94