Finding the Fourth Proportional to 10,115.02, 13,957.86 and 5,638.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,115.02 : 13,957.86 = 5,638.42 : x
2. Step 2: Convert to fraction form
   10,115.02/13,957.86 = 5,638.42/x
3. Step 3: Cross multiply
   10,115.02x = 13,957.86 × 5,638.42
4. Step 4: Simplify right side
   10,115.02x = 78,700,276.98
5. Step 5: Solve for x
   x = 78,700,276.98/10,115.02
6. Step 6: Final answer
   x = 7,780.54