Finding the Fourth Proportional to 11,766.34, 17,646.82 and 7,023.84

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766.34 : 17,646.82 = 7,023.84 : x
2. Step 2: Convert to fraction form
   11,766.34/17,646.82 = 7,023.84/x
3. Step 3: Cross multiply
   11,766.34x = 17,646.82 × 7,023.84
4. Step 4: Simplify right side
   11,766.34x = 123,948,440.19
5. Step 5: Solve for x
   x = 123,948,440.19/11,766.34
6. Step 6: Final answer
   x = 10,534.15