Finding the Fourth Proportional to 9,874.38, 14,797.59 and 7,642.83

Step by Step Solution

1. Step 1: Write the proportion equation
   9,874.38 : 14,797.59 = 7,642.83 : x
2. Step 2: Convert to fraction form
   9,874.38/14,797.59 = 7,642.83/x
3. Step 3: Cross multiply
   9,874.38x = 14,797.59 × 7,642.83
4. Step 4: Simplify right side
   9,874.38x = 113,095,449.99
5. Step 5: Solve for x
   x = 113,095,449.99/9,874.38
6. Step 6: Final answer
   x = 11,453.42