Finding the Fourth Proportional to 10,118.76, 13,957.87 and 7,877.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,118.76 : 13,957.87 = 7,877.08 : x
2. Step 2: Convert to fraction form
   10,118.76/13,957.87 = 7,877.08/x
3. Step 3: Cross multiply
   10,118.76x = 13,957.87 × 7,877.08
4. Step 4: Simplify right side
   10,118.76x = 109,947,271.14
5. Step 5: Solve for x
   x = 109,947,271.14/10,118.76
6. Step 6: Final answer
   x = 10,865.69