Finding the Fourth Proportional to 9,815.67, 14,686.58 and 5,436.20

Step by Step Solution

1. Step 1: Write the proportion equation
   9,815.67 : 14,686.58 = 5,436.20 : x
2. Step 2: Convert to fraction form
   9,815.67/14,686.58 = 5,436.20/x
3. Step 3: Cross multiply
   9,815.67x = 14,686.58 × 5,436.20
4. Step 4: Simplify right side
   9,815.67x = 79,839,085.58
5. Step 5: Solve for x
   x = 79,839,085.58/9,815.67
6. Step 6: Final answer
   x = 8,133.84