Finding the Fourth Proportional to 105,848.64, 146,046.24 and 61,128

Step by Step Solution

1. Step 1: Write the proportion equation
   105,848.64 : 146,046.24 = 61,128 : x
2. Step 2: Convert to fraction form
   105,848.64/146,046.24 = 61,128/x
3. Step 3: Cross multiply
   105,848.64x = 146,046.24 × 61,128
4. Step 4: Simplify right side
   105,848.64x = 8,927,514,558.72
5. Step 5: Solve for x
   x = 8,927,514,558.72/105,848.64
6. Step 6: Final answer
   x = 84,342.27