Finding the Fourth Proportional to 1,952.83, 2,927.33 and 782.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,952.83 : 2,927.33 = 782.51 : x
2. Step 2: Convert to fraction form
   1,952.83/2,927.33 = 782.51/x
3. Step 3: Cross multiply
   1,952.83x = 2,927.33 × 782.51
4. Step 4: Simplify right side
   1,952.83x = 2,290,661.09
5. Step 5: Solve for x
   x = 2,290,661.09/1,952.83
6. Step 6: Final answer
   x = 1,173.00