Finding the Fourth Proportional to 1,421.82, 1,970.42 and 1,402.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,421.82 : 1,970.42 = 1,402.00 : x
2. Step 2: Convert to fraction form
   1,421.82/1,970.42 = 1,402.00/x
3. Step 3: Cross multiply
   1,421.82x = 1,970.42 × 1,402.00
4. Step 4: Simplify right side
   1,421.82x = 2,762,516.90
5. Step 5: Solve for x
   x = 2,762,516.90/1,421.82
6. Step 6: Final answer
   x = 1,942.94