Finding the Fourth Proportional to 82,256.29, 123,433.58 and 75,564.01

Step by Step Solution

1. Step 1: Write the proportion equation
   82,256.29 : 123,433.58 = 75,564.01 : x
2. Step 2: Convert to fraction form
   82,256.29/123,433.58 = 75,564.01/x
3. Step 3: Cross multiply
   82,256.29x = 123,433.58 × 75,564.01
4. Step 4: Simplify right side
   82,256.29x = 9,327,136,582.04
5. Step 5: Solve for x
   x = 9,327,136,582.04/82,256.29
6. Step 6: Final answer
   x = 113,391.16