Finding the Fourth Proportional to 31,826.92, 47,645.34 and 19,309

Step by Step Solution

1. Step 1: Write the proportion equation
   31,826.92 : 47,645.34 = 19,309 : x
2. Step 2: Convert to fraction form
   31,826.92/47,645.34 = 19,309/x
3. Step 3: Cross multiply
   31,826.92x = 47,645.34 × 19,309
4. Step 4: Simplify right side
   31,826.92x = 919,983,870.06
5. Step 5: Solve for x
   x = 919,983,870.06/31,826.92
6. Step 6: Final answer
   x = 28,905.84