Finding the Fourth Proportional to 9,577.50, 13,215.52 and 5,384.94

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.50 : 13,215.52 = 5,384.94 : x
2. Step 2: Convert to fraction form
   9,577.50/13,215.52 = 5,384.94/x
3. Step 3: Cross multiply
   9,577.50x = 13,215.52 × 5,384.94
4. Step 4: Simplify right side
   9,577.50x = 71,164,689.27
5. Step 5: Solve for x
   x = 71,164,689.27/9,577.50
6. Step 6: Final answer
   x = 7,430.41