Finding the Fourth Proportional to 1,097.05, 1,511.35 and 764.87

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097.05 : 1,511.35 = 764.87 : x
2. Step 2: Convert to fraction form
   1,097.05/1,511.35 = 764.87/x
3. Step 3: Cross multiply
   1,097.05x = 1,511.35 × 764.87
4. Step 4: Simplify right side
   1,097.05x = 1,155,986.27
5. Step 5: Solve for x
   x = 1,155,986.27/1,097.05
6. Step 6: Final answer
   x = 1,053.72