Finding the Fourth Proportional to 10,038.02, 13,849.76 and 5,731.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,038.02 : 13,849.76 = 5,731.15 : x
2. Step 2: Convert to fraction form
   10,038.02/13,849.76 = 5,731.15/x
3. Step 3: Cross multiply
   10,038.02x = 13,849.76 × 5,731.15
4. Step 4: Simplify right side
   10,038.02x = 79,374,988.74
5. Step 5: Solve for x
   x = 79,374,988.74/10,038.02
6. Step 6: Final answer
   x = 7,907.44