Finding the Fourth Proportional to 105,886.50, 146,123.37 and 61,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,886.50 : 146,123.37 = 61,174.50 : x
2. Step 2: Convert to fraction form
   105,886.50/146,123.37 = 61,174.50/x
3. Step 3: Cross multiply
   105,886.50x = 146,123.37 × 61,174.50
4. Step 4: Simplify right side
   105,886.50x = 8,939,024,098.07
5. Step 5: Solve for x
   x = 8,939,024,098.07/105,886.50
6. Step 6: Final answer
   x = 84,420.81