Finding the Fourth Proportional to 1,875.86, 2,814.83 and 705.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,875.86 : 2,814.83 = 705.81 : x
2. Step 2: Convert to fraction form
   1,875.86/2,814.83 = 705.81/x
3. Step 3: Cross multiply
   1,875.86x = 2,814.83 × 705.81
4. Step 4: Simplify right side
   1,875.86x = 1,986,735.16
5. Step 5: Solve for x
   x = 1,986,735.16/1,875.86
6. Step 6: Final answer
   x = 1,059.11