Finding the Fourth Proportional to 11,648.16, 17,463.74 and 7,492.86

Step by Step Solution

1. Step 1: Write the proportion equation
   11,648.16 : 17,463.74 = 7,492.86 : x
2. Step 2: Convert to fraction form
   11,648.16/17,463.74 = 7,492.86/x
3. Step 3: Cross multiply
   11,648.16x = 17,463.74 × 7,492.86
4. Step 4: Simplify right side
   11,648.16x = 130,853,321.43
5. Step 5: Solve for x
   x = 130,853,321.43/11,648.16
6. Step 6: Final answer
   x = 11,233.82