Finding the Fourth Proportional to 56,500, 77,969.94 and 31,006.51

Step by Step Solution

1. Step 1: Write the proportion equation
   56,500 : 77,969.94 = 31,006.51 : x
2. Step 2: Convert to fraction form
   56,500/77,969.94 = 31,006.51/x
3. Step 3: Cross multiply
   56,500x = 77,969.94 × 31,006.51
4. Step 4: Simplify right side
   56,500x = 2,417,575,724.31
5. Step 5: Solve for x
   x = 2,417,575,724.31/56,500
6. Step 6: Final answer
   x = 42,788.95