Finding the Fourth Proportional to 10,807.58, 16,205.74 and 5,102.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,807.58 : 16,205.74 = 5,102.59 : x
2. Step 2: Convert to fraction form
   10,807.58/16,205.74 = 5,102.59/x
3. Step 3: Cross multiply
   10,807.58x = 16,205.74 × 5,102.59
4. Step 4: Simplify right side
   10,807.58x = 82,691,140.32
5. Step 5: Solve for x
   x = 82,691,140.32/10,807.58
6. Step 6: Final answer
   x = 7,651.22