Finding the Fourth Proportional to 116,114.31, 160,271.76 and 75,834.33

Step by Step Solution

1. Step 1: Write the proportion equation
   116,114.31 : 160,271.76 = 75,834.33 : x
2. Step 2: Convert to fraction form
   116,114.31/160,271.76 = 75,834.33/x
3. Step 3: Cross multiply
   116,114.31x = 160,271.76 × 75,834.33
4. Step 4: Simplify right side
   116,114.31x = 12,154,101,220.88
5. Step 5: Solve for x
   x = 12,154,101,220.88/116,114.31
6. Step 6: Final answer
   x = 104,673.59