Finding the Fourth Proportional to 101,978.56, 152,941.76 and 31,821.76

Step by Step Solution

1. Step 1: Write the proportion equation
   101,978.56 : 152,941.76 = 31,821.76 : x
2. Step 2: Convert to fraction form
   101,978.56/152,941.76 = 31,821.76/x
3. Step 3: Cross multiply
   101,978.56x = 152,941.76 × 31,821.76
4. Step 4: Simplify right side
   101,978.56x = 4,866,875,980.70
5. Step 5: Solve for x
   x = 4,866,875,980.70/101,978.56
6. Step 6: Final answer
   x = 47,724.50