Finding the Fourth Proportional to 5,188.25, 7,782.78 and 1,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,188.25 : 7,782.78 = 1,725.50 : x
2. Step 2: Convert to fraction form
   5,188.25/7,782.78 = 1,725.50/x
3. Step 3: Cross multiply
   5,188.25x = 7,782.78 × 1,725.50
4. Step 4: Simplify right side
   5,188.25x = 13,429,186.89
5. Step 5: Solve for x
   x = 13,429,186.89/5,188.25
6. Step 6: Final answer
   x = 2,588.38