Finding the Fourth Proportional to 1,005.69, 1,506.45 and 745.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.69 : 1,506.45 = 745.98 : x
2. Step 2: Convert to fraction form
   1,005.69/1,506.45 = 745.98/x
3. Step 3: Cross multiply
   1,005.69x = 1,506.45 × 745.98
4. Step 4: Simplify right side
   1,005.69x = 1,123,784.37
5. Step 5: Solve for x
   x = 1,123,784.37/1,005.69
6. Step 6: Final answer
   x = 1,117.43