Finding the Fourth Proportional to 10,087.50, 13,920.75 and 5,671.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,087.50 : 13,920.75 = 5,671.50 : x
2. Step 2: Convert to fraction form
   10,087.50/13,920.75 = 5,671.50/x
3. Step 3: Cross multiply
   10,087.50x = 13,920.75 × 5,671.50
4. Step 4: Simplify right side
   10,087.50x = 78,951,533.63
5. Step 5: Solve for x
   x = 78,951,533.63/10,087.50
6. Step 6: Final answer
   x = 7,826.67