Finding the Fourth Proportional to 1,564.52, 2,159.34 and 1,406.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.52 : 2,159.34 = 1,406.84 : x
2. Step 2: Convert to fraction form
   1,564.52/2,159.34 = 1,406.84/x
3. Step 3: Cross multiply
   1,564.52x = 2,159.34 × 1,406.84
4. Step 4: Simplify right side
   1,564.52x = 3,037,845.89
5. Step 5: Solve for x
   x = 3,037,845.89/1,564.52
6. Step 6: Final answer
   x = 1,941.71