Finding the Fourth Proportional to 10,353.77, 14,288.18 and 5,638.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,353.77 : 14,288.18 = 5,638.08 : x
2. Step 2: Convert to fraction form
   10,353.77/14,288.18 = 5,638.08/x
3. Step 3: Cross multiply
   10,353.77x = 14,288.18 × 5,638.08
4. Step 4: Simplify right side
   10,353.77x = 80,557,915.99
5. Step 5: Solve for x
   x = 80,557,915.99/10,353.77
6. Step 6: Final answer
   x = 7,780.54