Finding the Fourth Proportional to 10,746.77, 14,841.78 and 7,398.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,746.77 : 14,841.78 = 7,398.23 : x
2. Step 2: Convert to fraction form
   10,746.77/14,841.78 = 7,398.23/x
3. Step 3: Cross multiply
   10,746.77x = 14,841.78 × 7,398.23
4. Step 4: Simplify right side
   10,746.77x = 109,802,827.84
5. Step 5: Solve for x
   x = 109,802,827.84/10,746.77
6. Step 6: Final answer
   x = 10,217.29