Finding the Fourth Proportional to 1,564.42, 2,345.83 and 524.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.42 : 2,345.83 = 524.05 : x
2. Step 2: Convert to fraction form
   1,564.42/2,345.83 = 524.05/x
3. Step 3: Cross multiply
   1,564.42x = 2,345.83 × 524.05
4. Step 4: Simplify right side
   1,564.42x = 1,229,332.21
5. Step 5: Solve for x
   x = 1,229,332.21/1,564.42
6. Step 6: Final answer
   x = 785.81