Finding the Fourth Proportional to 11,656.58, 16,088.63 and 7,678.13

Step by Step Solution

1. Step 1: Write the proportion equation
   11,656.58 : 16,088.63 = 7,678.13 : x
2. Step 2: Convert to fraction form
   11,656.58/16,088.63 = 7,678.13/x
3. Step 3: Cross multiply
   11,656.58x = 16,088.63 × 7,678.13
4. Step 4: Simplify right side
   11,656.58x = 123,530,473.83
5. Step 5: Solve for x
   x = 123,530,473.83/11,656.58
6. Step 6: Final answer
   x = 10,597.49