Finding the Fourth Proportional to 10,354.61, 14,289.30 and 5,638.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,354.61 : 14,289.30 = 5,638.79 : x
2. Step 2: Convert to fraction form
   10,354.61/14,289.30 = 5,638.79/x
3. Step 3: Cross multiply
   10,354.61x = 14,289.30 × 5,638.79
4. Step 4: Simplify right side
   10,354.61x = 80,574,290.50
5. Step 5: Solve for x
   x = 80,574,290.50/10,354.61
6. Step 6: Final answer
   x = 7,781.49