Finding the Fourth Proportional to 2,111.63, 2,914.65 and 1,413

Step by Step Solution

1. Step 1: Write the proportion equation
   2,111.63 : 2,914.65 = 1,413 : x
2. Step 2: Convert to fraction form
   2,111.63/2,914.65 = 1,413/x
3. Step 3: Cross multiply
   2,111.63x = 2,914.65 × 1,413
4. Step 4: Simplify right side
   2,111.63x = 4,118,400.45
5. Step 5: Solve for x
   x = 4,118,400.45/2,111.63
6. Step 6: Final answer
   x = 1,950.35