Finding the Fourth Proportional to 11,776.95, 17,663.58 and 7,646.24

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776.95 : 17,663.58 = 7,646.24 : x
2. Step 2: Convert to fraction form
   11,776.95/17,663.58 = 7,646.24/x
3. Step 3: Cross multiply
   11,776.95x = 17,663.58 × 7,646.24
4. Step 4: Simplify right side
   11,776.95x = 135,060,016.10
5. Step 5: Solve for x
   x = 135,060,016.10/11,776.95
6. Step 6: Final answer
   x = 11,468.17