Finding the Fourth Proportional to 19,705.34, 29,558.52 and 5,664.80

Step by Step Solution

1. Step 1: Write the proportion equation
   19,705.34 : 29,558.52 = 5,664.80 : x
2. Step 2: Convert to fraction form
   19,705.34/29,558.52 = 5,664.80/x
3. Step 3: Cross multiply
   19,705.34x = 29,558.52 × 5,664.80
4. Step 4: Simplify right side
   19,705.34x = 167,443,104.10
5. Step 5: Solve for x
   x = 167,443,104.10/19,705.34
6. Step 6: Final answer
   x = 8,497.35