Finding the Fourth Proportional to 9,821.58, 14,736.69 and 5,203.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,821.58 : 14,736.69 = 5,203.50 : x
2. Step 2: Convert to fraction form
   9,821.58/14,736.69 = 5,203.50/x
3. Step 3: Cross multiply
   9,821.58x = 14,736.69 × 5,203.50
4. Step 4: Simplify right side
   9,821.58x = 76,682,366.42
5. Step 5: Solve for x
   x = 76,682,366.42/9,821.58
6. Step 6: Final answer
   x = 7,807.54