Finding the Fourth Proportional to 10,072.76, 15,096.38 and 5,692.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,072.76 : 15,096.38 = 5,692.70 : x
2. Step 2: Convert to fraction form
   10,072.76/15,096.38 = 5,692.70/x
3. Step 3: Cross multiply
   10,072.76x = 15,096.38 × 5,692.70
4. Step 4: Simplify right side
   10,072.76x = 85,939,162.43
5. Step 5: Solve for x
   x = 85,939,162.43/10,072.76
6. Step 6: Final answer
   x = 8,531.84