Finding the Fourth Proportional to 9,574.78, 13,213.32 and 5,383

Step by Step Solution

1. Step 1: Write the proportion equation
   9,574.78 : 13,213.32 = 5,383 : x
2. Step 2: Convert to fraction form
   9,574.78/13,213.32 = 5,383/x
3. Step 3: Cross multiply
   9,574.78x = 13,213.32 × 5,383
4. Step 4: Simplify right side
   9,574.78x = 71,127,301.56
5. Step 5: Solve for x
   x = 71,127,301.56/9,574.78
6. Step 6: Final answer
   x = 7,428.61