Finding the Fourth Proportional to 109,978.62, 164,978.49 and 31,095.42

Step by Step Solution

1. Step 1: Write the proportion equation
   109,978.62 : 164,978.49 = 31,095.42 : x
2. Step 2: Convert to fraction form
   109,978.62/164,978.49 = 31,095.42/x
3. Step 3: Cross multiply
   109,978.62x = 164,978.49 × 31,095.42
4. Step 4: Simplify right side
   109,978.62x = 5,130,075,437.52
5. Step 5: Solve for x
   x = 5,130,075,437.52/109,978.62
6. Step 6: Final answer
   x = 46,646.12