Finding the Fourth Proportional to 1,415.09, 1,952.81 and 785.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,415.09 : 1,952.81 = 785.62 : x
2. Step 2: Convert to fraction form
   1,415.09/1,952.81 = 785.62/x
3. Step 3: Cross multiply
   1,415.09x = 1,952.81 × 785.62
4. Step 4: Simplify right side
   1,415.09x = 1,534,166.59
5. Step 5: Solve for x
   x = 1,534,166.59/1,415.09
6. Step 6: Final answer
   x = 1,084.15