Finding the Fourth Proportional to 101,577.89, 152,365.21 and 34,114.61

Step by Step Solution

1. Step 1: Write the proportion equation
   101,577.89 : 152,365.21 = 34,114.61 : x
2. Step 2: Convert to fraction form
   101,577.89/152,365.21 = 34,114.61/x
3. Step 3: Cross multiply
   101,577.89x = 152,365.21 × 34,114.61
4. Step 4: Simplify right side
   101,577.89x = 5,197,879,716.72
5. Step 5: Solve for x
   x = 5,197,879,716.72/101,577.89
6. Step 6: Final answer
   x = 51,171.37