Finding the Fourth Proportional to 10,071, 13,897.98 and 5,878.44

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071 : 13,897.98 = 5,878.44 : x
2. Step 2: Convert to fraction form
   10,071/13,897.98 = 5,878.44/x
3. Step 3: Cross multiply
   10,071x = 13,897.98 × 5,878.44
4. Step 4: Simplify right side
   10,071x = 81,698,441.55
5. Step 5: Solve for x
   x = 81,698,441.55/10,071
6. Step 6: Final answer
   x = 8,112.25