Finding the Fourth Proportional to 14,657.82, 21,984.29 and 5,296.04

Step by Step Solution

1. Step 1: Write the proportion equation
   14,657.82 : 21,984.29 = 5,296.04 : x
2. Step 2: Convert to fraction form
   14,657.82/21,984.29 = 5,296.04/x
3. Step 3: Cross multiply
   14,657.82x = 21,984.29 × 5,296.04
4. Step 4: Simplify right side
   14,657.82x = 116,429,679.21
5. Step 5: Solve for x
   x = 116,429,679.21/14,657.82
6. Step 6: Final answer
   x = 7,943.18