Finding the Fourth Proportional to 10,175.31, 14,042.62 and 5,698.98

Step by Step Solution

1. Step 1: Write the proportion equation
   10,175.31 : 14,042.62 = 5,698.98 : x
2. Step 2: Convert to fraction form
   10,175.31/14,042.62 = 5,698.98/x
3. Step 3: Cross multiply
   10,175.31x = 14,042.62 × 5,698.98
4. Step 4: Simplify right side
   10,175.31x = 80,028,526.07
5. Step 5: Solve for x
   x = 80,028,526.07/10,175.31
6. Step 6: Final answer
   x = 7,864.98