Finding the Fourth Proportional to 9,883.06, 14,821.54 and 5,200.53

Step by Step Solution

1. Step 1: Write the proportion equation
   9,883.06 : 14,821.54 = 5,200.53 : x
2. Step 2: Convert to fraction form
   9,883.06/14,821.54 = 5,200.53/x
3. Step 3: Cross multiply
   9,883.06x = 14,821.54 × 5,200.53
4. Step 4: Simplify right side
   9,883.06x = 77,079,794.83
5. Step 5: Solve for x
   x = 77,079,794.83/9,883.06
6. Step 6: Final answer
   x = 7,799.19