Finding the Fourth Proportional to 1,406.71, 1,940.34 and 1,111.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,406.71 : 1,940.34 = 1,111.87 : x
2. Step 2: Convert to fraction form
   1,406.71/1,940.34 = 1,111.87/x
3. Step 3: Cross multiply
   1,406.71x = 1,940.34 × 1,111.87
4. Step 4: Simplify right side
   1,406.71x = 2,157,405.84
5. Step 5: Solve for x
   x = 2,157,405.84/1,406.71
6. Step 6: Final answer
   x = 1,533.65