Finding the Fourth Proportional to 9,182.96, 13,762.10 and 5,016.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.96 : 13,762.10 = 5,016.72 : x
2. Step 2: Convert to fraction form
   9,182.96/13,762.10 = 5,016.72/x
3. Step 3: Cross multiply
   9,182.96x = 13,762.10 × 5,016.72
4. Step 4: Simplify right side
   9,182.96x = 69,040,577.23
5. Step 5: Solve for x
   x = 69,040,577.23/9,182.96
6. Step 6: Final answer
   x = 7,518.34