Finding the Fourth Proportional to 9,741.32, 13,442.30 and 5,492.16

Step by Step Solution

1. Step 1: Write the proportion equation
   9,741.32 : 13,442.30 = 5,492.16 : x
2. Step 2: Convert to fraction form
   9,741.32/13,442.30 = 5,492.16/x
3. Step 3: Cross multiply
   9,741.32x = 13,442.30 × 5,492.16
4. Step 4: Simplify right side
   9,741.32x = 73,827,234.91
5. Step 5: Solve for x
   x = 73,827,234.91/9,741.32
6. Step 6: Final answer
   x = 7,578.78