Finding the Fourth Proportional to 10,699.37, 14,764.86 and 5,919.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,699.37 : 14,764.86 = 5,919.50 : x
2. Step 2: Convert to fraction form
   10,699.37/14,764.86 = 5,919.50/x
3. Step 3: Cross multiply
   10,699.37x = 14,764.86 × 5,919.50
4. Step 4: Simplify right side
   10,699.37x = 87,400,514.95
5. Step 5: Solve for x
   x = 87,400,514.95/10,699.37
6. Step 6: Final answer
   x = 8,168.75