Finding the Fourth Proportional to 9,635.13, 13,296.33 and 5,385.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,635.13 : 13,296.33 = 5,385.96 : x
2. Step 2: Convert to fraction form
   9,635.13/13,296.33 = 5,385.96/x
3. Step 3: Cross multiply
   9,635.13x = 13,296.33 × 5,385.96
4. Step 4: Simplify right side
   9,635.13x = 71,613,501.53
5. Step 5: Solve for x
   x = 71,613,501.53/9,635.13
6. Step 6: Final answer
   x = 7,432.54