Finding the Fourth Proportional to 1,420.26, 1,953.34 and 1,140.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.26 : 1,953.34 = 1,140.05 : x
2. Step 2: Convert to fraction form
   1,420.26/1,953.34 = 1,140.05/x
3. Step 3: Cross multiply
   1,420.26x = 1,953.34 × 1,140.05
4. Step 4: Simplify right side
   1,420.26x = 2,226,905.27
5. Step 5: Solve for x
   x = 2,226,905.27/1,420.26
6. Step 6: Final answer
   x = 1,567.96