Finding the Fourth Proportional to 9,471.86, 13,069.68 and 5,492.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.86 : 13,069.68 = 5,492.16 : x
2. Step 2: Convert to fraction form
   9,471.86/13,069.68 = 5,492.16/x
3. Step 3: Cross multiply
   9,471.86x = 13,069.68 × 5,492.16
4. Step 4: Simplify right side
   9,471.86x = 71,780,773.71
5. Step 5: Solve for x
   x = 71,780,773.71/9,471.86
6. Step 6: Final answer
   x = 7,578.32