Finding the Fourth Proportional to 116,109, 160,264.62 and 75,828.96

Step by Step Solution

1. Step 1: Write the proportion equation
   116,109 : 160,264.62 = 75,828.96 : x
2. Step 2: Convert to fraction form
   116,109/160,264.62 = 75,828.96/x
3. Step 3: Cross multiply
   116,109x = 160,264.62 × 75,828.96
4. Step 4: Simplify right side
   116,109x = 12,152,699,459.40
5. Step 5: Solve for x
   x = 12,152,699,459.40/116,109
6. Step 6: Final answer
   x = 104,666.30