Finding the Fourth Proportional to 9,492.49, 13,098.61 and 5,663.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,492.49 : 13,098.61 = 5,663.42 : x
2. Step 2: Convert to fraction form
   9,492.49/13,098.61 = 5,663.42/x
3. Step 3: Cross multiply
   9,492.49x = 13,098.61 × 5,663.42
4. Step 4: Simplify right side
   9,492.49x = 74,182,920.55
5. Step 5: Solve for x
   x = 74,182,920.55/9,492.49
6. Step 6: Final answer
   x = 7,814.91