Finding the Fourth Proportional to 5,098.22, 7,648.52 and 1,588.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,098.22 : 7,648.52 = 1,588.06 : x
2. Step 2: Convert to fraction form
   5,098.22/7,648.52 = 1,588.06/x
3. Step 3: Cross multiply
   5,098.22x = 7,648.52 × 1,588.06
4. Step 4: Simplify right side
   5,098.22x = 12,146,308.67
5. Step 5: Solve for x
   x = 12,146,308.67/5,098.22
6. Step 6: Final answer
   x = 2,382.46