Finding the Fourth Proportional to 116,241.16, 160,371.54 and 75,978.16

Step by Step Solution

1. Step 1: Write the proportion equation
   116,241.16 : 160,371.54 = 75,978.16 : x
2. Step 2: Convert to fraction form
   116,241.16/160,371.54 = 75,978.16/x
3. Step 3: Cross multiply
   116,241.16x = 160,371.54 × 75,978.16
4. Step 4: Simplify right side
   116,241.16x = 12,184,734,525.57
5. Step 5: Solve for x
   x = 12,184,734,525.57/116,241.16
6. Step 6: Final answer
   x = 104,822.89