Finding the Fourth Proportional to 456,516.72, 684,641.28 and 172,002

Step by Step Solution

1. Step 1: Write the proportion equation
   456,516.72 : 684,641.28 = 172,002 : x
2. Step 2: Convert to fraction form
   456,516.72/684,641.28 = 172,002/x
3. Step 3: Cross multiply
   456,516.72x = 684,641.28 × 172,002
4. Step 4: Simplify right side
   456,516.72x = 117,759,669,442.56
5. Step 5: Solve for x
   x = 117,759,669,442.56/456,516.72
6. Step 6: Final answer
   x = 257,952.59