Finding the Fourth Proportional to 5,098.55, 7,648.52 and 1,588.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,098.55 : 7,648.52 = 1,588.80 : x
2. Step 2: Convert to fraction form
   5,098.55/7,648.52 = 1,588.80/x
3. Step 3: Cross multiply
   5,098.55x = 7,648.52 × 1,588.80
4. Step 4: Simplify right side
   5,098.55x = 12,151,960.63
5. Step 5: Solve for x
   x = 12,151,960.63/5,098.55
6. Step 6: Final answer
   x = 2,383.42