Finding the Fourth Proportional to 1,006.69, 1,507.30 and 920.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,006.69 : 1,507.30 = 920.02 : x
2. Step 2: Convert to fraction form
   1,006.69/1,507.30 = 920.02/x
3. Step 3: Cross multiply
   1,006.69x = 1,507.30 × 920.02
4. Step 4: Simplify right side
   1,006.69x = 1,386,746.15
5. Step 5: Solve for x
   x = 1,386,746.15/1,006.69
6. Step 6: Final answer
   x = 1,377.53