Finding the Fourth Proportional to 146,642.24, 202,364.52 and 82,978.40

Step by Step Solution

1. Step 1: Write the proportion equation
   146,642.24 : 202,364.52 = 82,978.40 : x
2. Step 2: Convert to fraction form
   146,642.24/202,364.52 = 82,978.40/x
3. Step 3: Cross multiply
   146,642.24x = 202,364.52 × 82,978.40
4. Step 4: Simplify right side
   146,642.24x = 16,791,884,086.37
5. Step 5: Solve for x
   x = 16,791,884,086.37/146,642.24
6. Step 6: Final answer
   x = 114,509.19