Finding the Fourth Proportional to 9,182.23, 13,777.43 and 5,233.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,182.23 : 13,777.43 = 5,233.34 : x
2. Step 2: Convert to fraction form
   9,182.23/13,777.43 = 5,233.34/x
3. Step 3: Cross multiply
   9,182.23x = 13,777.43 × 5,233.34
4. Step 4: Simplify right side
   9,182.23x = 72,101,983.79
5. Step 5: Solve for x
   x = 72,101,983.79/9,182.23
6. Step 6: Final answer
   x = 7,852.34