Finding the Fourth Proportional to 10,697.64, 16,039.62 and 5,139.93

Step by Step Solution

1. Step 1: Write the proportion equation
   10,697.64 : 16,039.62 = 5,139.93 : x
2. Step 2: Convert to fraction form
   10,697.64/16,039.62 = 5,139.93/x
3. Step 3: Cross multiply
   10,697.64x = 16,039.62 × 5,139.93
4. Step 4: Simplify right side
   10,697.64x = 82,442,443.83
5. Step 5: Solve for x
   x = 82,442,443.83/10,697.64
6. Step 6: Final answer
   x = 7,706.60