Finding the Fourth Proportional to 31,023.94, 46,543.72 and 9,965.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31,023.94 : 46,543.72 = 9,965.88 : x
2. Step 2: Convert to fraction form
   31,023.94/46,543.72 = 9,965.88/x
3. Step 3: Cross multiply
   31,023.94x = 46,543.72 × 9,965.88
4. Step 4: Simplify right side
   31,023.94x = 463,849,128.27
5. Step 5: Solve for x
   x = 463,849,128.27/31,023.94
6. Step 6: Final answer
   x = 14,951.33