Finding the Fourth Proportional to 76,824, 106,017.12 and 41,496

Step by Step Solution

1. Step 1: Write the proportion equation
   76,824 : 106,017.12 = 41,496 : x
2. Step 2: Convert to fraction form
   76,824/106,017.12 = 41,496/x
3. Step 3: Cross multiply
   76,824x = 106,017.12 × 41,496
4. Step 4: Simplify right side
   76,824x = 4,399,286,411.52
5. Step 5: Solve for x
   x = 4,399,286,411.52/76,824
6. Step 6: Final answer
   x = 57,264.48