Finding the Fourth Proportional to 1,601.40, 2,390.52 and 1,407

Step by Step Solution

1. Step 1: Write the proportion equation
   1,601.40 : 2,390.52 = 1,407 : x
2. Step 2: Convert to fraction form
   1,601.40/2,390.52 = 1,407/x
3. Step 3: Cross multiply
   1,601.40x = 2,390.52 × 1,407
4. Step 4: Simplify right side
   1,601.40x = 3,363,461.64
5. Step 5: Solve for x
   x = 3,363,461.64/1,601.40
6. Step 6: Final answer
   x = 2,100.33