Finding the Fourth Proportional to 1,748.78, 2,402.52 and 1,564.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,748.78 : 2,402.52 = 1,564.71 : x
2. Step 2: Convert to fraction form
   1,748.78/2,402.52 = 1,564.71/x
3. Step 3: Cross multiply
   1,748.78x = 2,402.52 × 1,564.71
4. Step 4: Simplify right side
   1,748.78x = 3,759,247.07
5. Step 5: Solve for x
   x = 3,759,247.07/1,748.78
6. Step 6: Final answer
   x = 2,149.64