Finding the Fourth Proportional to 9,836.64, 13,574.17 and 5,360.29

Step by Step Solution

1. Step 1: Write the proportion equation
   9,836.64 : 13,574.17 = 5,360.29 : x
2. Step 2: Convert to fraction form
   9,836.64/13,574.17 = 5,360.29/x
3. Step 3: Cross multiply
   9,836.64x = 13,574.17 × 5,360.29
4. Step 4: Simplify right side
   9,836.64x = 72,761,522.75
5. Step 5: Solve for x
   x = 72,761,522.75/9,836.64
6. Step 6: Final answer
   x = 7,396.99