Finding the Fourth Proportional to 2,029.32, 2,802.74 and 1,586.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,029.32 : 2,802.74 = 1,586.59 : x
2. Step 2: Convert to fraction form
   2,029.32/2,802.74 = 1,586.59/x
3. Step 3: Cross multiply
   2,029.32x = 2,802.74 × 1,586.59
4. Step 4: Simplify right side
   2,029.32x = 4,446,784.32
5. Step 5: Solve for x
   x = 4,446,784.32/2,029.32
6. Step 6: Final answer
   x = 2,191.27