Finding the Fourth Proportional to 505,429, 696,923.40 and 413,260.72

Step by Step Solution

1. Step 1: Write the proportion equation
   505,429 : 696,923.40 = 413,260.72 : x
2. Step 2: Convert to fraction form
   505,429/696,923.40 = 413,260.72/x
3. Step 3: Cross multiply
   505,429x = 696,923.40 × 413,260.72
4. Step 4: Simplify right side
   505,429x = 288,011,066,068.85
5. Step 5: Solve for x
   x = 288,011,066,068.85/505,429
6. Step 6: Final answer
   x = 569,834.87