Finding the Fourth Proportional to 120,022.42, 165,632.16 and 83,776.54

Step by Step Solution

1. Step 1: Write the proportion equation
   120,022.42 : 165,632.16 = 83,776.54 : x
2. Step 2: Convert to fraction form
   120,022.42/165,632.16 = 83,776.54/x
3. Step 3: Cross multiply
   120,022.42x = 165,632.16 × 83,776.54
4. Step 4: Simplify right side
   120,022.42x = 13,876,089,277.53
5. Step 5: Solve for x
   x = 13,876,089,277.53/120,022.42
6. Step 6: Final answer
   x = 115,612.48