Finding the Fourth Proportional to 10,196.10, 14,070.78 and 5,658.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,196.10 : 14,070.78 = 5,658.66 : x
2. Step 2: Convert to fraction form
   10,196.10/14,070.78 = 5,658.66/x
3. Step 3: Cross multiply
   10,196.10x = 14,070.78 × 5,658.66
4. Step 4: Simplify right side
   10,196.10x = 79,621,759.95
5. Step 5: Solve for x
   x = 79,621,759.95/10,196.10
6. Step 6: Final answer
   x = 7,809.04