Finding the Fourth Proportional to 10,077.18, 13,901.67 and 8,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.18 : 13,901.67 = 8,677.50 : x
2. Step 2: Convert to fraction form
   10,077.18/13,901.67 = 8,677.50/x
3. Step 3: Cross multiply
   10,077.18x = 13,901.67 × 8,677.50
4. Step 4: Simplify right side
   10,077.18x = 120,631,741.43
5. Step 5: Solve for x
   x = 120,631,741.43/10,077.18
6. Step 6: Final answer
   x = 11,970.78