Finding the Fourth Proportional to 10,698.32, 16,040.65 and 5,140.61

Step by Step Solution

1. Step 1: Write the proportion equation
   10,698.32 : 16,040.65 = 5,140.61 : x
2. Step 2: Convert to fraction form
   10,698.32/16,040.65 = 5,140.61/x
3. Step 3: Cross multiply
   10,698.32x = 16,040.65 × 5,140.61
4. Step 4: Simplify right side
   10,698.32x = 82,458,692.89
5. Step 5: Solve for x
   x = 82,458,692.89/10,698.32
6. Step 6: Final answer
   x = 7,707.63