Finding the Fourth Proportional to 11,677.63, 16,116.61 and 7,707.01

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.63 : 16,116.61 = 7,707.01 : x
2. Step 2: Convert to fraction form
   11,677.63/16,116.61 = 7,707.01/x
3. Step 3: Cross multiply
   11,677.63x = 16,116.61 × 7,707.01
4. Step 4: Simplify right side
   11,677.63x = 124,210,774.59
5. Step 5: Solve for x
   x = 124,210,774.59/11,677.63
6. Step 6: Final answer
   x = 10,636.65