Finding the Fourth Proportional to 1,876.50, 2,588.67 and 1,213.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,876.50 : 2,588.67 = 1,213.56 : x
2. Step 2: Convert to fraction form
   1,876.50/2,588.67 = 1,213.56/x
3. Step 3: Cross multiply
   1,876.50x = 2,588.67 × 1,213.56
4. Step 4: Simplify right side
   1,876.50x = 3,141,506.37
5. Step 5: Solve for x
   x = 3,141,506.37/1,876.50
6. Step 6: Final answer
   x = 1,674.13