Finding the Fourth Proportional to 1,538.89, 2,305.25 and 716.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.89 : 2,305.25 = 716.02 : x
2. Step 2: Convert to fraction form
   1,538.89/2,305.25 = 716.02/x
3. Step 3: Cross multiply
   1,538.89x = 2,305.25 × 716.02
4. Step 4: Simplify right side
   1,538.89x = 1,650,590.00
5. Step 5: Solve for x
   x = 1,650,590.00/1,538.89
6. Step 6: Final answer
   x = 1,072.59