Finding the Fourth Proportional to 76,776.67, 105,947.42 and 42,314.55

Step by Step Solution

1. Step 1: Write the proportion equation
   76,776.67 : 105,947.42 = 42,314.55 : x
2. Step 2: Convert to fraction form
   76,776.67/105,947.42 = 42,314.55/x
3. Step 3: Cross multiply
   76,776.67x = 105,947.42 × 42,314.55
4. Step 4: Simplify right side
   76,776.67x = 4,483,117,400.96
5. Step 5: Solve for x
   x = 4,483,117,400.96/76,776.67
6. Step 6: Final answer
   x = 58,391.67