Finding the Fourth Proportional to 9,575.76, 13,214.41 and 5,384.01

Step by Step Solution

1. Step 1: Write the proportion equation
   9,575.76 : 13,214.41 = 5,384.01 : x
2. Step 2: Convert to fraction form
   9,575.76/13,214.41 = 5,384.01/x
3. Step 3: Cross multiply
   9,575.76x = 13,214.41 × 5,384.01
4. Step 4: Simplify right side
   9,575.76x = 71,146,515.58
5. Step 5: Solve for x
   x = 71,146,515.58/9,575.76
6. Step 6: Final answer
   x = 7,429.86