Finding the Fourth Proportional to 76,580.16, 105,685.20 and 42,588.96

Step by Step Solution

1. Step 1: Write the proportion equation
   76,580.16 : 105,685.20 = 42,588.96 : x
2. Step 2: Convert to fraction form
   76,580.16/105,685.20 = 42,588.96/x
3. Step 3: Cross multiply
   76,580.16x = 105,685.20 × 42,588.96
4. Step 4: Simplify right side
   76,580.16x = 4,501,022,755.39
5. Step 5: Solve for x
   x = 4,501,022,755.39/76,580.16
6. Step 6: Final answer
   x = 58,775.31