Finding the Fourth Proportional to 10,174.35, 14,038.98 and 5,698.29

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.35 : 14,038.98 = 5,698.29 : x
2. Step 2: Convert to fraction form
   10,174.35/14,038.98 = 5,698.29/x
3. Step 3: Cross multiply
   10,174.35x = 14,038.98 × 5,698.29
4. Step 4: Simplify right side
   10,174.35x = 79,998,179.34
5. Step 5: Solve for x
   x = 79,998,179.34/10,174.35
6. Step 6: Final answer
   x = 7,862.73