Finding the Fourth Proportional to 31,648.34, 47,467.10 and 10,585.46

Step by Step Solution

1. Step 1: Write the proportion equation
   31,648.34 : 47,467.10 = 10,585.46 : x
2. Step 2: Convert to fraction form
   31,648.34/47,467.10 = 10,585.46/x
3. Step 3: Cross multiply
   31,648.34x = 47,467.10 × 10,585.46
4. Step 4: Simplify right side
   31,648.34x = 502,461,088.37
5. Step 5: Solve for x
   x = 502,461,088.37/31,648.34
6. Step 6: Final answer
   x = 15,876.38