Finding the Fourth Proportional to 10,111.68, 15,175 and 5,185.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,111.68 : 15,175 = 5,185.44 : x
2. Step 2: Convert to fraction form
   10,111.68/15,175 = 5,185.44/x
3. Step 3: Cross multiply
   10,111.68x = 15,175 × 5,185.44
4. Step 4: Simplify right side
   10,111.68x = 78,689,052
5. Step 5: Solve for x
   x = 78,689,052/10,111.68
6. Step 6: Final answer
   x = 7,782.00