Finding the Fourth Proportional to 9,634.21, 13,294.78 and 5,385.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,634.21 : 13,294.78 = 5,385.25 : x
2. Step 2: Convert to fraction form
   9,634.21/13,294.78 = 5,385.25/x
3. Step 3: Cross multiply
   9,634.21x = 13,294.78 × 5,385.25
4. Step 4: Simplify right side
   9,634.21x = 71,595,714.00
5. Step 5: Solve for x
   x = 71,595,714.00/9,634.21
6. Step 6: Final answer
   x = 7,431.40