Finding the Fourth Proportional to 11,688.80, 17,522.34 and 4,667.10

Step by Step Solution

1. Step 1: Write the proportion equation
   11,688.80 : 17,522.34 = 4,667.10 : x
2. Step 2: Convert to fraction form
   11,688.80/17,522.34 = 4,667.10/x
3. Step 3: Cross multiply
   11,688.80x = 17,522.34 × 4,667.10
4. Step 4: Simplify right side
   11,688.80x = 81,778,513.01
5. Step 5: Solve for x
   x = 81,778,513.01/11,688.80
6. Step 6: Final answer
   x = 6,996.32