Finding the Fourth Proportional to 1,097, 1,513.86 and 747.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,097 : 1,513.86 = 747.69 : x
2. Step 2: Convert to fraction form
   1,097/1,513.86 = 747.69/x
3. Step 3: Cross multiply
   1,097x = 1,513.86 × 747.69
4. Step 4: Simplify right side
   1,097x = 1,131,897.98
5. Step 5: Solve for x
   x = 1,131,897.98/1,097
6. Step 6: Final answer
   x = 1,031.81