Finding the Fourth Proportional to 82,590.21, 113,978.61 and 46,777.95

Step by Step Solution

1. Step 1: Write the proportion equation
   82,590.21 : 113,978.61 = 46,777.95 : x
2. Step 2: Convert to fraction form
   82,590.21/113,978.61 = 46,777.95/x
3. Step 3: Cross multiply
   82,590.21x = 113,978.61 × 46,777.95
4. Step 4: Simplify right side
   82,590.21x = 5,331,685,719.65
5. Step 5: Solve for x
   x = 5,331,685,719.65/82,590.21
6. Step 6: Final answer
   x = 64,555.90