Finding the Fourth Proportional to 1,063.52, 1,467.60 and 597.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,063.52 : 1,467.60 = 597.77 : x
2. Step 2: Convert to fraction form
   1,063.52/1,467.60 = 597.77/x
3. Step 3: Cross multiply
   1,063.52x = 1,467.60 × 597.77
4. Step 4: Simplify right side
   1,063.52x = 877,279.91
5. Step 5: Solve for x
   x = 877,279.91/1,063.52
6. Step 6: Final answer
   x = 824.89