Finding the Fourth Proportional to 1,410.86, 1,945.12 and 1,157.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.86 : 1,945.12 = 1,157.86 : x
2. Step 2: Convert to fraction form
   1,410.86/1,945.12 = 1,157.86/x
3. Step 3: Cross multiply
   1,410.86x = 1,945.12 × 1,157.86
4. Step 4: Simplify right side
   1,410.86x = 2,252,176.64
5. Step 5: Solve for x
   x = 2,252,176.64/1,410.86
6. Step 6: Final answer
   x = 1,596.31