Finding the Fourth Proportional to 9,883.14, 14,830.56 and 3,647.54

Step by Step Solution

1. Step 1: Write the proportion equation
   9,883.14 : 14,830.56 = 3,647.54 : x
2. Step 2: Convert to fraction form
   9,883.14/14,830.56 = 3,647.54/x
3. Step 3: Cross multiply
   9,883.14x = 14,830.56 × 3,647.54
4. Step 4: Simplify right side
   9,883.14x = 54,095,060.82
5. Step 5: Solve for x
   x = 54,095,060.82/9,883.14
6. Step 6: Final answer
   x = 5,473.47