Finding the Fourth Proportional to 14,526.21, 21,782.11 and 5,164.82

Step by Step Solution

1. Step 1: Write the proportion equation
   14,526.21 : 21,782.11 = 5,164.82 : x
2. Step 2: Convert to fraction form
   14,526.21/21,782.11 = 5,164.82/x
3. Step 3: Cross multiply
   14,526.21x = 21,782.11 × 5,164.82
4. Step 4: Simplify right side
   14,526.21x = 112,500,677.37
5. Step 5: Solve for x
   x = 112,500,677.37/14,526.21
6. Step 6: Final answer
   x = 7,744.67