Finding the Fourth Proportional to 9,179.82, 13,777.86 and 5,023.62

Step by Step Solution

1. Step 1: Write the proportion equation
   9,179.82 : 13,777.86 = 5,023.62 : x
2. Step 2: Convert to fraction form
   9,179.82/13,777.86 = 5,023.62/x
3. Step 3: Cross multiply
   9,179.82x = 13,777.86 × 5,023.62
4. Step 4: Simplify right side
   9,179.82x = 69,214,733.05
5. Step 5: Solve for x
   x = 69,214,733.05/9,179.82
6. Step 6: Final answer
   x = 7,539.88