Finding the Fourth Proportional to 56,506.50, 77,978.76 and 31,013.30

Step by Step Solution

1. Step 1: Write the proportion equation
   56,506.50 : 77,978.76 = 31,013.30 : x
2. Step 2: Convert to fraction form
   56,506.50/77,978.76 = 31,013.30/x
3. Step 3: Cross multiply
   56,506.50x = 77,978.76 × 31,013.30
4. Step 4: Simplify right side
   56,506.50x = 2,418,378,677.51
5. Step 5: Solve for x
   x = 2,418,378,677.51/56,506.50
6. Step 6: Final answer
   x = 42,798.24