Finding the Fourth Proportional to 1,406.46, 2,111.70 and 998.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.46 : 2,111.70 = 998.22 : x
2. Step 2: Convert to fraction form
   1,406.46/2,111.70 = 998.22/x
3. Step 3: Cross multiply
   1,406.46x = 2,111.70 × 998.22
4. Step 4: Simplify right side
   1,406.46x = 2,107,941.17
5. Step 5: Solve for x
   x = 2,107,941.17/1,406.46
6. Step 6: Final answer
   x = 1,498.76