Finding the Fourth Proportional to 9,471.38, 13,071.60 and 5,492.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.38 : 13,071.60 = 5,492.61 : x
2. Step 2: Convert to fraction form
   9,471.38/13,071.60 = 5,492.61/x
3. Step 3: Cross multiply
   9,471.38x = 13,071.60 × 5,492.61
4. Step 4: Simplify right side
   9,471.38x = 71,797,200.88
5. Step 5: Solve for x
   x = 71,797,200.88/9,471.38
6. Step 6: Final answer
   x = 7,580.44