Finding the Fourth Proportional to 1,564.38, 2,149.80 and 1,492.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.38 : 2,149.80 = 1,492.10 : x
2. Step 2: Convert to fraction form
   1,564.38/2,149.80 = 1,492.10/x
3. Step 3: Cross multiply
   1,564.38x = 2,149.80 × 1,492.10
4. Step 4: Simplify right side
   1,564.38x = 3,207,720.31
5. Step 5: Solve for x
   x = 3,207,720.31/1,564.38
6. Step 6: Final answer
   x = 2,050.48