Finding the Fourth Proportional to 1,736.29, 2,614.76 and 1,564.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,736.29 : 2,614.76 = 1,564.98 : x
2. Step 2: Convert to fraction form
   1,736.29/2,614.76 = 1,564.98/x
3. Step 3: Cross multiply
   1,736.29x = 2,614.76 × 1,564.98
4. Step 4: Simplify right side
   1,736.29x = 4,092,047.10
5. Step 5: Solve for x
   x = 4,092,047.10/1,736.29
6. Step 6: Final answer
   x = 2,356.78