Finding the Fourth Proportional to 1,887.50, 2,605.50 and 1,837.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,887.50 : 2,605.50 = 1,837.82 : x
2. Step 2: Convert to fraction form
   1,887.50/2,605.50 = 1,837.82/x
3. Step 3: Cross multiply
   1,887.50x = 2,605.50 × 1,837.82
4. Step 4: Simplify right side
   1,887.50x = 4,788,426.98
5. Step 5: Solve for x
   x = 4,788,426.98/1,887.50
6. Step 6: Final answer
   x = 2,536.92