Finding the Fourth Proportional to 10,070.06, 13,896.78 and 5,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,070.06 : 13,896.78 = 5,877.50 : x
2. Step 2: Convert to fraction form
   10,070.06/13,896.78 = 5,877.50/x
3. Step 3: Cross multiply
   10,070.06x = 13,896.78 × 5,877.50
4. Step 4: Simplify right side
   10,070.06x = 81,678,324.45
5. Step 5: Solve for x
   x = 81,678,324.45/10,070.06
6. Step 6: Final answer
   x = 8,111.01