Finding the Fourth Proportional to 76,875, 106,087.50 and 41,547

Step by Step Solution

1. Step 1: Write the proportion equation
   76,875 : 106,087.50 = 41,547 : x
2. Step 2: Convert to fraction form
   76,875/106,087.50 = 41,547/x
3. Step 3: Cross multiply
   76,875x = 106,087.50 × 41,547
4. Step 4: Simplify right side
   76,875x = 4,407,617,362.50
5. Step 5: Solve for x
   x = 4,407,617,362.50/76,875
6. Step 6: Final answer
   x = 57,334.86