Finding the Fourth Proportional to 1,665.50, 2,498.23 and 1,564.01

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.50 : 2,498.23 = 1,564.01 : x
2. Step 2: Convert to fraction form
   1,665.50/2,498.23 = 1,564.01/x
3. Step 3: Cross multiply
   1,665.50x = 2,498.23 × 1,564.01
4. Step 4: Simplify right side
   1,665.50x = 3,907,259.93
5. Step 5: Solve for x
   x = 3,907,259.93/1,665.50
6. Step 6: Final answer
   x = 2,346.01