Finding the Fourth Proportional to 1,665.60, 2,501.36 and 1,580.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,665.60 : 2,501.36 = 1,580.52 : x
2. Step 2: Convert to fraction form
   1,665.60/2,501.36 = 1,580.52/x
3. Step 3: Cross multiply
   1,665.60x = 2,501.36 × 1,580.52
4. Step 4: Simplify right side
   1,665.60x = 3,953,449.51
5. Step 5: Solve for x
   x = 3,953,449.51/1,665.60
6. Step 6: Final answer
   x = 2,373.59