Finding the Fourth Proportional to 10,194.90, 14,068.24 and 5,657.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194.90 : 14,068.24 = 5,657.82 : x
2. Step 2: Convert to fraction form
   10,194.90/14,068.24 = 5,657.82/x
3. Step 3: Cross multiply
   10,194.90x = 14,068.24 × 5,657.82
4. Step 4: Simplify right side
   10,194.90x = 79,595,576.52
5. Step 5: Solve for x
   x = 79,595,576.52/10,194.90
6. Step 6: Final answer
   x = 7,807.39