Finding the Fourth Proportional to 17,256.42, 25,878.15 and 5,566.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,256.42 : 25,878.15 = 5,566.50 : x
2. Step 2: Convert to fraction form
   17,256.42/25,878.15 = 5,566.50/x
3. Step 3: Cross multiply
   17,256.42x = 25,878.15 × 5,566.50
4. Step 4: Simplify right side
   17,256.42x = 144,050,721.98
5. Step 5: Solve for x
   x = 144,050,721.98/17,256.42
6. Step 6: Final answer
   x = 8,347.66