Finding the Fourth Proportional to 82,784.10, 114,242.27 and 46,974.02

Step by Step Solution

1. Step 1: Write the proportion equation
   82,784.10 : 114,242.27 = 46,974.02 : x
2. Step 2: Convert to fraction form
   82,784.10/114,242.27 = 46,974.02/x
3. Step 3: Cross multiply
   82,784.10x = 114,242.27 × 46,974.02
4. Step 4: Simplify right side
   82,784.10x = 5,366,417,869.74
5. Step 5: Solve for x
   x = 5,366,417,869.74/82,784.10
6. Step 6: Final answer
   x = 64,824.26