Finding the Fourth Proportional to 9,561.12, 14,345.78 and 5,181.64

Step by Step Solution

1. Step 1: Write the proportion equation
   9,561.12 : 14,345.78 = 5,181.64 : x
2. Step 2: Convert to fraction form
   9,561.12/14,345.78 = 5,181.64/x
3. Step 3: Cross multiply
   9,561.12x = 14,345.78 × 5,181.64
4. Step 4: Simplify right side
   9,561.12x = 74,334,667.48
5. Step 5: Solve for x
   x = 74,334,667.48/9,561.12
6. Step 6: Final answer
   x = 7,774.68