Finding the Fourth Proportional to 1,409.76, 1,945.98 and 1,147.32

Step by Step Solution

1. Step 1: Write the proportion equation
   1,409.76 : 1,945.98 = 1,147.32 : x
2. Step 2: Convert to fraction form
   1,409.76/1,945.98 = 1,147.32/x
3. Step 3: Cross multiply
   1,409.76x = 1,945.98 × 1,147.32
4. Step 4: Simplify right side
   1,409.76x = 2,232,661.77
5. Step 5: Solve for x
   x = 2,232,661.77/1,409.76
6. Step 6: Final answer
   x = 1,583.72