Finding the Fourth Proportional to 31,160.80, 42,978.16 and 19,832.16

Step by Step Solution

1. Step 1: Write the proportion equation
   31,160.80 : 42,978.16 = 19,832.16 : x
2. Step 2: Convert to fraction form
   31,160.80/42,978.16 = 19,832.16/x
3. Step 3: Cross multiply
   31,160.80x = 42,978.16 × 19,832.16
4. Step 4: Simplify right side
   31,160.80x = 852,349,745.63
5. Step 5: Solve for x
   x = 852,349,745.63/31,160.80
6. Step 6: Final answer
   x = 27,353.27