Finding the Fourth Proportional to 10,174.61, 14,039.33 and 5,698.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,174.61 : 14,039.33 = 5,698.35 : x
2. Step 2: Convert to fraction form
   10,174.61/14,039.33 = 5,698.35/x
3. Step 3: Cross multiply
   10,174.61x = 14,039.33 × 5,698.35
4. Step 4: Simplify right side
   10,174.61x = 80,000,987.61
5. Step 5: Solve for x
   x = 80,000,987.61/10,174.61
6. Step 6: Final answer
   x = 7,862.80