Finding the Fourth Proportional to 9,679.86, 14,499.54 and 5,782.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,679.86 : 14,499.54 = 5,782.14 : x
2. Step 2: Convert to fraction form
   9,679.86/14,499.54 = 5,782.14/x
3. Step 3: Cross multiply
   9,679.86x = 14,499.54 × 5,782.14
4. Step 4: Simplify right side
   9,679.86x = 83,838,370.22
5. Step 5: Solve for x
   x = 83,838,370.22/9,679.86
6. Step 6: Final answer
   x = 8,661.11