Finding the Fourth Proportional to 76,667.14, 114,961.80 and 35,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   76,667.14 : 114,961.80 = 35,078.50 : x
2. Step 2: Convert to fraction form
   76,667.14/114,961.80 = 35,078.50/x
3. Step 3: Cross multiply
   76,667.14x = 114,961.80 × 35,078.50
4. Step 4: Simplify right side
   76,667.14x = 4,032,687,501.30
5. Step 5: Solve for x
   x = 4,032,687,501.30/76,667.14
6. Step 6: Final answer
   x = 52,599.95