Finding the Fourth Proportional to 9,701.58, 14,556.69 and 5,083.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,701.58 : 14,556.69 = 5,083.50 : x
2. Step 2: Convert to fraction form
   9,701.58/14,556.69 = 5,083.50/x
3. Step 3: Cross multiply
   9,701.58x = 14,556.69 × 5,083.50
4. Step 4: Simplify right side
   9,701.58x = 73,998,933.62
5. Step 5: Solve for x
   x = 73,998,933.62/9,701.58
6. Step 6: Final answer
   x = 7,627.51