Finding the Fourth Proportional to 2,558.70, 3,837.57 and 1,531.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,558.70 : 3,837.57 = 1,531.50 : x
2. Step 2: Convert to fraction form
   2,558.70/3,837.57 = 1,531.50/x
3. Step 3: Cross multiply
   2,558.70x = 3,837.57 × 1,531.50
4. Step 4: Simplify right side
   2,558.70x = 5,877,238.46
5. Step 5: Solve for x
   x = 5,877,238.46/2,558.70
6. Step 6: Final answer
   x = 2,296.96