Finding the Fourth Proportional to 10,588.56, 15,883 and 5,042.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.56 : 15,883 = 5,042.50 : x
2. Step 2: Convert to fraction form
   10,588.56/15,883 = 5,042.50/x
3. Step 3: Cross multiply
   10,588.56x = 15,883 × 5,042.50
4. Step 4: Simplify right side
   10,588.56x = 80,090,027.50
5. Step 5: Solve for x
   x = 80,090,027.50/10,588.56
6. Step 6: Final answer
   x = 7,563.83