Finding the Fourth Proportional to 10,012.06, 13,817.91 and 5,819.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,012.06 : 13,817.91 = 5,819.50 : x
2. Step 2: Convert to fraction form
   10,012.06/13,817.91 = 5,819.50/x
3. Step 3: Cross multiply
   10,012.06x = 13,817.91 × 5,819.50
4. Step 4: Simplify right side
   10,012.06x = 80,413,327.25
5. Step 5: Solve for x
   x = 80,413,327.25/10,012.06
6. Step 6: Final answer
   x = 8,031.65