Finding the Fourth Proportional to 105,645.16, 145,706.34 and 89,782.12

Step by Step Solution

1. Step 1: Write the proportion equation
   105,645.16 : 145,706.34 = 89,782.12 : x
2. Step 2: Convert to fraction form
   105,645.16/145,706.34 = 89,782.12/x
3. Step 3: Cross multiply
   105,645.16x = 145,706.34 × 89,782.12
4. Step 4: Simplify right side
   105,645.16x = 13,081,824,102.64
5. Step 5: Solve for x
   x = 13,081,824,102.64/105,645.16
6. Step 6: Final answer
   x = 123,827.95