Finding the Fourth Proportional to 11,677.90, 17,503.82 and 4,656.07

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.90 : 17,503.82 = 4,656.07 : x
2. Step 2: Convert to fraction form
   11,677.90/17,503.82 = 4,656.07/x
3. Step 3: Cross multiply
   11,677.90x = 17,503.82 × 4,656.07
4. Step 4: Simplify right side
   11,677.90x = 81,499,015.73
5. Step 5: Solve for x
   x = 81,499,015.73/11,677.90
6. Step 6: Final answer
   x = 6,978.91