Finding the Fourth Proportional to 82,077.50, 113,196.89 and 56,624.47

Step by Step Solution

1. Step 1: Write the proportion equation
   82,077.50 : 113,196.89 = 56,624.47 : x
2. Step 2: Convert to fraction form
   82,077.50/113,196.89 = 56,624.47/x
3. Step 3: Cross multiply
   82,077.50x = 113,196.89 × 56,624.47
4. Step 4: Simplify right side
   82,077.50x = 6,409,713,760.47
5. Step 5: Solve for x
   x = 6,409,713,760.47/82,077.50
6. Step 6: Final answer
   x = 78,093.43