Finding the Fourth Proportional to 1,509.63, 2,084.72 and 1,427.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.63 : 2,084.72 = 1,427.82 : x
2. Step 2: Convert to fraction form
   1,509.63/2,084.72 = 1,427.82/x
3. Step 3: Cross multiply
   1,509.63x = 2,084.72 × 1,427.82
4. Step 4: Simplify right side
   1,509.63x = 2,976,597.77
5. Step 5: Solve for x
   x = 2,976,597.77/1,509.63
6. Step 6: Final answer
   x = 1,971.74