Finding the Fourth Proportional to 1,300.19, 1,947.34 and 1,005.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,300.19 : 1,947.34 = 1,005.62 : x
2. Step 2: Convert to fraction form
   1,300.19/1,947.34 = 1,005.62/x
3. Step 3: Cross multiply
   1,300.19x = 1,947.34 × 1,005.62
4. Step 4: Simplify right side
   1,300.19x = 1,958,284.05
5. Step 5: Solve for x
   x = 1,958,284.05/1,300.19
6. Step 6: Final answer
   x = 1,506.15