Finding the Fourth Proportional to 1,538.58, 2,308.50 and 716.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,538.58 : 2,308.50 = 716.34 : x
2. Step 2: Convert to fraction form
   1,538.58/2,308.50 = 716.34/x
3. Step 3: Cross multiply
   1,538.58x = 2,308.50 × 716.34
4. Step 4: Simplify right side
   1,538.58x = 1,653,670.89
5. Step 5: Solve for x
   x = 1,653,670.89/1,538.58
6. Step 6: Final answer
   x = 1,074.80