Finding the Fourth Proportional to 31,090.29, 46,642.10 and 10,031.53

Step by Step Solution

1. Step 1: Write the proportion equation
   31,090.29 : 46,642.10 = 10,031.53 : x
2. Step 2: Convert to fraction form
   31,090.29/46,642.10 = 10,031.53/x
3. Step 3: Cross multiply
   31,090.29x = 46,642.10 × 10,031.53
4. Step 4: Simplify right side
   31,090.29x = 467,891,633.56
5. Step 5: Solve for x
   x = 467,891,633.56/31,090.29
6. Step 6: Final answer
   x = 15,049.45