Finding the Fourth Proportional to 46,978.02, 64,809.18 and 31,084.56

Step by Step Solution

1. Step 1: Write the proportion equation
   46,978.02 : 64,809.18 = 31,084.56 : x
2. Step 2: Convert to fraction form
   46,978.02/64,809.18 = 31,084.56/x
3. Step 3: Cross multiply
   46,978.02x = 64,809.18 × 31,084.56
4. Step 4: Simplify right side
   46,978.02x = 2,014,564,844.26
5. Step 5: Solve for x
   x = 2,014,564,844.26/46,978.02
6. Step 6: Final answer
   x = 42,883.14