Finding the Fourth Proportional to 31,510, 47,271.48 and 13,042

Step by Step Solution

1. Step 1: Write the proportion equation
   31,510 : 47,271.48 = 13,042 : x
2. Step 2: Convert to fraction form
   31,510/47,271.48 = 13,042/x
3. Step 3: Cross multiply
   31,510x = 47,271.48 × 13,042
4. Step 4: Simplify right side
   31,510x = 616,514,642.16
5. Step 5: Solve for x
   x = 616,514,642.16/31,510
6. Step 6: Final answer
   x = 19,565.68