Finding the Fourth Proportional to 11,492.89, 15,866.24 and 7,735.80

Step by Step Solution

1. Step 1: Write the proportion equation
   11,492.89 : 15,866.24 = 7,735.80 : x
2. Step 2: Convert to fraction form
   11,492.89/15,866.24 = 7,735.80/x
3. Step 3: Cross multiply
   11,492.89x = 15,866.24 × 7,735.80
4. Step 4: Simplify right side
   11,492.89x = 122,738,020.71
5. Step 5: Solve for x
   x = 122,738,020.71/11,492.89
6. Step 6: Final answer
   x = 10,679.48