Finding the Fourth Proportional to 10,501.91, 14,493.29 and 5,786.19

Step by Step Solution

1. Step 1: Write the proportion equation
   10,501.91 : 14,493.29 = 5,786.19 : x
2. Step 2: Convert to fraction form
   10,501.91/14,493.29 = 5,786.19/x
3. Step 3: Cross multiply
   10,501.91x = 14,493.29 × 5,786.19
4. Step 4: Simplify right side
   10,501.91x = 83,860,900.73
5. Step 5: Solve for x
   x = 83,860,900.73/10,501.91
6. Step 6: Final answer
   x = 7,985.30