Finding the Fourth Proportional to 9,412.52, 12,987.92 and 5,634.78

Step by Step Solution

1. Step 1: Write the proportion equation
   9,412.52 : 12,987.92 = 5,634.78 : x
2. Step 2: Convert to fraction form
   9,412.52/12,987.92 = 5,634.78/x
3. Step 3: Cross multiply
   9,412.52x = 12,987.92 × 5,634.78
4. Step 4: Simplify right side
   9,412.52x = 73,184,037.24
5. Step 5: Solve for x
   x = 73,184,037.24/9,412.52
6. Step 6: Final answer
   x = 7,775.18