Finding the Fourth Proportional to 9,634.82, 13,294.86 and 5,386.04

Step by Step Solution

1. Step 1: Write the proportion equation
   9,634.82 : 13,294.86 = 5,386.04 : x
2. Step 2: Convert to fraction form
   9,634.82/13,294.86 = 5,386.04/x
3. Step 3: Cross multiply
   9,634.82x = 13,294.86 × 5,386.04
4. Step 4: Simplify right side
   9,634.82x = 71,606,647.75
5. Step 5: Solve for x
   x = 71,606,647.75/9,634.82
6. Step 6: Final answer
   x = 7,432.07