Finding the Fourth Proportional to 9,577.02, 13,215.78 and 5,385

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.02 : 13,215.78 = 5,385 : x
2. Step 2: Convert to fraction form
   9,577.02/13,215.78 = 5,385/x
3. Step 3: Cross multiply
   9,577.02x = 13,215.78 × 5,385
4. Step 4: Simplify right side
   9,577.02x = 71,166,975.30
5. Step 5: Solve for x
   x = 71,166,975.30/9,577.02
6. Step 6: Final answer
   x = 7,431.01