Finding the Fourth Proportional to 101,978.20, 152,966.22 and 31,858.12

Step by Step Solution

1. Step 1: Write the proportion equation
   101,978.20 : 152,966.22 = 31,858.12 : x
2. Step 2: Convert to fraction form
   101,978.20/152,966.22 = 31,858.12/x
3. Step 3: Cross multiply
   101,978.20x = 152,966.22 × 31,858.12
4. Step 4: Simplify right side
   101,978.20x = 4,873,216,192.71
5. Step 5: Solve for x
   x = 4,873,216,192.71/101,978.20
6. Step 6: Final answer
   x = 47,786.84