Finding the Fourth Proportional to 76,862, 106,069.56 and 41,534

Step by Step Solution

1. Step 1: Write the proportion equation
   76,862 : 106,069.56 = 41,534 : x
2. Step 2: Convert to fraction form
   76,862/106,069.56 = 41,534/x
3. Step 3: Cross multiply
   76,862x = 106,069.56 × 41,534
4. Step 4: Simplify right side
   76,862x = 4,405,493,105.04
5. Step 5: Solve for x
   x = 4,405,493,105.04/76,862
6. Step 6: Final answer
   x = 57,316.92