Finding the Fourth Proportional to 10,738.16, 14,822.69 and 6,263.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,738.16 : 14,822.69 = 6,263.31 : x
2. Step 2: Convert to fraction form
   10,738.16/14,822.69 = 6,263.31/x
3. Step 3: Cross multiply
   10,738.16x = 14,822.69 × 6,263.31
4. Step 4: Simplify right side
   10,738.16x = 92,839,071.19
5. Step 5: Solve for x
   x = 92,839,071.19/10,738.16
6. Step 6: Final answer
   x = 8,645.72