Finding the Fourth Proportional to 10,738.34, 14,819.40 and 6,261.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.34 : 14,819.40 = 6,261.38 : x
2. Step 2: Convert to fraction form
   10,738.34/14,819.40 = 6,261.38/x
3. Step 3: Cross multiply
   10,738.34x = 14,819.40 × 6,261.38
4. Step 4: Simplify right side
   10,738.34x = 92,789,894.77
5. Step 5: Solve for x
   x = 92,789,894.77/10,738.34
6. Step 6: Final answer
   x = 8,640.99