Finding the Fourth Proportional to 1,827.62, 2,521.89 and 1,164.20

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.62 : 2,521.89 = 1,164.20 : x
2. Step 2: Convert to fraction form
   1,827.62/2,521.89 = 1,164.20/x
3. Step 3: Cross multiply
   1,827.62x = 2,521.89 × 1,164.20
4. Step 4: Simplify right side
   1,827.62x = 2,935,984.34
5. Step 5: Solve for x
   x = 2,935,984.34/1,827.62
6. Step 6: Final answer
   x = 1,606.45