Finding the Fourth Proportional to 10,023.67, 13,832.17 and 5,486.23

Step by Step Solution

1. Step 1: Write the proportion equation
   10,023.67 : 13,832.17 = 5,486.23 : x
2. Step 2: Convert to fraction form
   10,023.67/13,832.17 = 5,486.23/x
3. Step 3: Cross multiply
   10,023.67x = 13,832.17 × 5,486.23
4. Step 4: Simplify right side
   10,023.67x = 75,886,466.02
5. Step 5: Solve for x
   x = 75,886,466.02/10,023.67
6. Step 6: Final answer
   x = 7,570.73