Finding the Fourth Proportional to 9,890.06, 13,648.49 and 5,414.00

Step by Step Solution

1. Step 1: Write the proportion equation
   9,890.06 : 13,648.49 = 5,414.00 : x
2. Step 2: Convert to fraction form
   9,890.06/13,648.49 = 5,414.00/x
3. Step 3: Cross multiply
   9,890.06x = 13,648.49 × 5,414.00
4. Step 4: Simplify right side
   9,890.06x = 73,892,829.55
5. Step 5: Solve for x
   x = 73,892,829.55/9,890.06
6. Step 6: Final answer
   x = 7,471.43